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Finding the Third Proportional to 42,145.31 and 89,849.25

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Solution

The third proportional to 42,145.31 and 89,849.25 is: 191,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,145.31 : 89,849.25 = 89,849.25 : x
  2. Step 2: Convert to fraction form
    42,145.31/89,849.25 = 89,849.25/x
  3. Step 3: Cross multiply
    42,145.31x = 89,849.25 × 89,849.25
  4. Step 4: Simplify right side
    42,145.31x = 8,072,887,725.56
  5. Step 5: Solve for x
    x = 8,072,887,725.56/42,145.31
  6. Step 6: Final answer
    x = 191,548.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.