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Finding the Third Proportional to 67,357.50 and 109,506.75

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Solution

The third proportional to 67,357.50 and 109,506.75 is: 178,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,357.50 : 109,506.75 = 109,506.75 : x
  2. Step 2: Convert to fraction form
    67,357.50/109,506.75 = 109,506.75/x
  3. Step 3: Cross multiply
    67,357.50x = 109,506.75 × 109,506.75
  4. Step 4: Simplify right side
    67,357.50x = 11,991,728,295.56
  5. Step 5: Solve for x
    x = 11,991,728,295.56/67,357.50
  6. Step 6: Final answer
    x = 178,031.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.