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Finding the Third Proportional to 62,304.75 and 137,065.38

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Solution

The third proportional to 62,304.75 and 137,065.38 is: 301,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,304.75 : 137,065.38 = 137,065.38 : x
  2. Step 2: Convert to fraction form
    62,304.75/137,065.38 = 137,065.38/x
  3. Step 3: Cross multiply
    62,304.75x = 137,065.38 × 137,065.38
  4. Step 4: Simplify right side
    62,304.75x = 18,786,917,023.89
  5. Step 5: Solve for x
    x = 18,786,917,023.89/62,304.75
  6. Step 6: Final answer
    x = 301,532.66

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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.