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Finding the Third Proportional to 71,572 and 107,314

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Solution

The third proportional to 71,572 and 107,314 is: 160,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572 : 107,314 = 107,314 : x
  2. Step 2: Convert to fraction form
    71,572/107,314 = 107,314/x
  3. Step 3: Cross multiply
    71,572x = 107,314 × 107,314
  4. Step 4: Simplify right side
    71,572x = 11,516,294,596
  5. Step 5: Solve for x
    x = 11,516,294,596/71,572
  6. Step 6: Final answer
    x = 160,905.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.