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Finding the Third Proportional to 42,022.13 and 90,416.25

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Solution

The third proportional to 42,022.13 and 90,416.25 is: 194,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,022.13 : 90,416.25 = 90,416.25 : x
  2. Step 2: Convert to fraction form
    42,022.13/90,416.25 = 90,416.25/x
  3. Step 3: Cross multiply
    42,022.13x = 90,416.25 × 90,416.25
  4. Step 4: Simplify right side
    42,022.13x = 8,175,098,264.06
  5. Step 5: Solve for x
    x = 8,175,098,264.06/42,022.13
  6. Step 6: Final answer
    x = 194,542.71

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Why These Related Problems?

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