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Finding the Third Proportional to 62,306 and 132,769

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Solution

The third proportional to 62,306 and 132,769 is: 282,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,306 : 132,769 = 132,769 : x
  2. Step 2: Convert to fraction form
    62,306/132,769 = 132,769/x
  3. Step 3: Cross multiply
    62,306x = 132,769 × 132,769
  4. Step 4: Simplify right side
    62,306x = 17,627,607,361
  5. Step 5: Solve for x
    x = 17,627,607,361/62,306
  6. Step 6: Final answer
    x = 282,919.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.