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Finding the Third Proportional to 57,542 and 76,485

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Solution

The third proportional to 57,542 and 76,485 is: 101,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,542 : 76,485 = 76,485 : x
  2. Step 2: Convert to fraction form
    57,542/76,485 = 76,485/x
  3. Step 3: Cross multiply
    57,542x = 76,485 × 76,485
  4. Step 4: Simplify right side
    57,542x = 5,849,955,225
  5. Step 5: Solve for x
    x = 5,849,955,225/57,542
  6. Step 6: Final answer
    x = 101,664.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.