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Finding the Third Proportional to 42,130.13 and 90,456.75

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Solution

The third proportional to 42,130.13 and 90,456.75 is: 194,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,130.13 : 90,456.75 = 90,456.75 : x
  2. Step 2: Convert to fraction form
    42,130.13/90,456.75 = 90,456.75/x
  3. Step 3: Cross multiply
    42,130.13x = 90,456.75 × 90,456.75
  4. Step 4: Simplify right side
    42,130.13x = 8,182,423,620.56
  5. Step 5: Solve for x
    x = 8,182,423,620.56/42,130.13
  6. Step 6: Final answer
    x = 194,217.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.