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Finding the Third Proportional to 110,872.50 and 170,652

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Solution

The third proportional to 110,872.50 and 170,652 is: 262,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,872.50 : 170,652 = 170,652 : x
  2. Step 2: Convert to fraction form
    110,872.50/170,652 = 170,652/x
  3. Step 3: Cross multiply
    110,872.50x = 170,652 × 170,652
  4. Step 4: Simplify right side
    110,872.50x = 29,122,105,104
  5. Step 5: Solve for x
    x = 29,122,105,104/110,872.50
  6. Step 6: Final answer
    x = 262,663.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.