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Finding the Third Proportional to 62,806 and 138,008

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Solution

The third proportional to 62,806 and 138,008 is: 303,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,806 : 138,008 = 138,008 : x
  2. Step 2: Convert to fraction form
    62,806/138,008 = 138,008/x
  3. Step 3: Cross multiply
    62,806x = 138,008 × 138,008
  4. Step 4: Simplify right side
    62,806x = 19,046,208,064
  5. Step 5: Solve for x
    x = 19,046,208,064/62,806
  6. Step 6: Final answer
    x = 303,254.59

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