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Finding the Third Proportional to 57,872.25 and 89,077.50

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Solution

The third proportional to 57,872.25 and 89,077.50 is: 137,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,872.25 : 89,077.50 = 89,077.50 : x
  2. Step 2: Convert to fraction form
    57,872.25/89,077.50 = 89,077.50/x
  3. Step 3: Cross multiply
    57,872.25x = 89,077.50 × 89,077.50
  4. Step 4: Simplify right side
    57,872.25x = 7,934,801,006.25
  5. Step 5: Solve for x
    x = 7,934,801,006.25/57,872.25
  6. Step 6: Final answer
    x = 137,108.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.