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Finding the Third Proportional to 62,529 and 138,572

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Solution

The third proportional to 62,529 and 138,572 is: 307,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,529 : 138,572 = 138,572 : x
  2. Step 2: Convert to fraction form
    62,529/138,572 = 138,572/x
  3. Step 3: Cross multiply
    62,529x = 138,572 × 138,572
  4. Step 4: Simplify right side
    62,529x = 19,202,199,184
  5. Step 5: Solve for x
    x = 19,202,199,184/62,529
  6. Step 6: Final answer
    x = 307,092.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.