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Finding the Third Proportional to 67,632 and 97,972

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Solution

The third proportional to 67,632 and 97,972 is: 141,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,632 : 97,972 = 97,972 : x
  2. Step 2: Convert to fraction form
    67,632/97,972 = 97,972/x
  3. Step 3: Cross multiply
    67,632x = 97,972 × 97,972
  4. Step 4: Simplify right side
    67,632x = 9,598,512,784
  5. Step 5: Solve for x
    x = 9,598,512,784/67,632
  6. Step 6: Final answer
    x = 141,922.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.