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Finding the Third Proportional to 57,508 and 88,082

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Solution

The third proportional to 57,508 and 88,082 is: 134,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,508 : 88,082 = 88,082 : x
  2. Step 2: Convert to fraction form
    57,508/88,082 = 88,082/x
  3. Step 3: Cross multiply
    57,508x = 88,082 × 88,082
  4. Step 4: Simplify right side
    57,508x = 7,758,438,724
  5. Step 5: Solve for x
    x = 7,758,438,724/57,508
  6. Step 6: Final answer
    x = 134,910.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.