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Finding the Third Proportional to 42,076.97 and 90,509.91

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Solution

The third proportional to 42,076.97 and 90,509.91 is: 194,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,076.97 : 90,509.91 = 90,509.91 : x
  2. Step 2: Convert to fraction form
    42,076.97/90,509.91 = 90,509.91/x
  3. Step 3: Cross multiply
    42,076.97x = 90,509.91 × 90,509.91
  4. Step 4: Simplify right side
    42,076.97x = 8,192,043,129.38
  5. Step 5: Solve for x
    x = 8,192,043,129.38/42,076.97
  6. Step 6: Final answer
    x = 194,691.86

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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.