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Finding the Third Proportional to 62,498.25 and 136,867.50

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Solution

The third proportional to 62,498.25 and 136,867.50 is: 299,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,498.25 : 136,867.50 = 136,867.50 : x
  2. Step 2: Convert to fraction form
    62,498.25/136,867.50 = 136,867.50/x
  3. Step 3: Cross multiply
    62,498.25x = 136,867.50 × 136,867.50
  4. Step 4: Simplify right side
    62,498.25x = 18,732,712,556.25
  5. Step 5: Solve for x
    x = 18,732,712,556.25/62,498.25
  6. Step 6: Final answer
    x = 299,731.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.