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Finding the Third Proportional to 42,148.69 and 89,002.13

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Solution

The third proportional to 42,148.69 and 89,002.13 is: 187,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,148.69 : 89,002.13 = 89,002.13 : x
  2. Step 2: Convert to fraction form
    42,148.69/89,002.13 = 89,002.13/x
  3. Step 3: Cross multiply
    42,148.69x = 89,002.13 × 89,002.13
  4. Step 4: Simplify right side
    42,148.69x = 7,921,378,254.52
  5. Step 5: Solve for x
    x = 7,921,378,254.52/42,148.69
  6. Step 6: Final answer
    x = 187,938.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.