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Finding the Third Proportional to 57,633 and 85,617

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Solution

The third proportional to 57,633 and 85,617 is: 127,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,633 : 85,617 = 85,617 : x
  2. Step 2: Convert to fraction form
    57,633/85,617 = 85,617/x
  3. Step 3: Cross multiply
    57,633x = 85,617 × 85,617
  4. Step 4: Simplify right side
    57,633x = 7,330,270,689
  5. Step 5: Solve for x
    x = 7,330,270,689/57,633
  6. Step 6: Final answer
    x = 127,188.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.