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Finding the Third Proportional to 62,508 and 138,840

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Solution

The third proportional to 62,508 and 138,840 is: 308,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,508 : 138,840 = 138,840 : x
  2. Step 2: Convert to fraction form
    62,508/138,840 = 138,840/x
  3. Step 3: Cross multiply
    62,508x = 138,840 × 138,840
  4. Step 4: Simplify right side
    62,508x = 19,276,545,600
  5. Step 5: Solve for x
    x = 19,276,545,600/62,508
  6. Step 6: Final answer
    x = 308,385.26

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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.