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Finding the Third Proportional to 57,298 and 85,974

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Solution

The third proportional to 57,298 and 85,974 is: 129,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,298 : 85,974 = 85,974 : x
  2. Step 2: Convert to fraction form
    57,298/85,974 = 85,974/x
  3. Step 3: Cross multiply
    57,298x = 85,974 × 85,974
  4. Step 4: Simplify right side
    57,298x = 7,391,528,676
  5. Step 5: Solve for x
    x = 7,391,528,676/57,298
  6. Step 6: Final answer
    x = 129,001.51

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Why These Related Problems?

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