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Finding the Third Proportional to 60,325 and 88,731

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Solution

The third proportional to 60,325 and 88,731 is: 130,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,325 : 88,731 = 88,731 : x
  2. Step 2: Convert to fraction form
    60,325/88,731 = 88,731/x
  3. Step 3: Cross multiply
    60,325x = 88,731 × 88,731
  4. Step 4: Simplify right side
    60,325x = 7,873,190,361
  5. Step 5: Solve for x
    x = 7,873,190,361/60,325
  6. Step 6: Final answer
    x = 130,512.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.