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Finding the Third Proportional to 57,632 and 89,002

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Solution

The third proportional to 57,632 and 89,002 is: 137,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,632 : 89,002 = 89,002 : x
  2. Step 2: Convert to fraction form
    57,632/89,002 = 89,002/x
  3. Step 3: Cross multiply
    57,632x = 89,002 × 89,002
  4. Step 4: Simplify right side
    57,632x = 7,921,356,004
  5. Step 5: Solve for x
    x = 7,921,356,004/57,632
  6. Step 6: Final answer
    x = 137,447.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.