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Finding the Third Proportional to 57,715.88 and 86,575.50

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Solution

The third proportional to 57,715.88 and 86,575.50 is: 129,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715.88 : 86,575.50 = 86,575.50 : x
  2. Step 2: Convert to fraction form
    57,715.88/86,575.50 = 86,575.50/x
  3. Step 3: Cross multiply
    57,715.88x = 86,575.50 × 86,575.50
  4. Step 4: Simplify right side
    57,715.88x = 7,495,317,200.25
  5. Step 5: Solve for x
    x = 7,495,317,200.25/57,715.88
  6. Step 6: Final answer
    x = 129,865.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.