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Finding the Third Proportional to 62,735 and 138,106

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Solution

The third proportional to 62,735 and 138,106 is: 304,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,735 : 138,106 = 138,106 : x
  2. Step 2: Convert to fraction form
    62,735/138,106 = 138,106/x
  3. Step 3: Cross multiply
    62,735x = 138,106 × 138,106
  4. Step 4: Simplify right side
    62,735x = 19,073,267,236
  5. Step 5: Solve for x
    x = 19,073,267,236/62,735
  6. Step 6: Final answer
    x = 304,029.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.