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Finding the Third Proportional to 62,731.50 and 138,099

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Solution

The third proportional to 62,731.50 and 138,099 is: 304,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,731.50 : 138,099 = 138,099 : x
  2. Step 2: Convert to fraction form
    62,731.50/138,099 = 138,099/x
  3. Step 3: Cross multiply
    62,731.50x = 138,099 × 138,099
  4. Step 4: Simplify right side
    62,731.50x = 19,071,333,801
  5. Step 5: Solve for x
    x = 19,071,333,801/62,731.50
  6. Step 6: Final answer
    x = 304,015.27

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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.