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Finding the Third Proportional to 64,108.50 and 166,422.50

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Solution

The third proportional to 64,108.50 and 166,422.50 is: 432,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,108.50 : 166,422.50 = 166,422.50 : x
  2. Step 2: Convert to fraction form
    64,108.50/166,422.50 = 166,422.50/x
  3. Step 3: Cross multiply
    64,108.50x = 166,422.50 × 166,422.50
  4. Step 4: Simplify right side
    64,108.50x = 27,696,448,506.25
  5. Step 5: Solve for x
    x = 27,696,448,506.25/64,108.50
  6. Step 6: Final answer
    x = 432,024.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.