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Finding the Third Proportional to 42,469.88 and 89,070.75

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Solution

The third proportional to 42,469.88 and 89,070.75 is: 186,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,469.88 : 89,070.75 = 89,070.75 : x
  2. Step 2: Convert to fraction form
    42,469.88/89,070.75 = 89,070.75/x
  3. Step 3: Cross multiply
    42,469.88x = 89,070.75 × 89,070.75
  4. Step 4: Simplify right side
    42,469.88x = 7,933,598,505.56
  5. Step 5: Solve for x
    x = 7,933,598,505.56/42,469.88
  6. Step 6: Final answer
    x = 186,805.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.