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Finding the Third Proportional to 67,230 and 97,692

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Solution

The third proportional to 67,230 and 97,692 is: 141,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,230 : 97,692 = 97,692 : x
  2. Step 2: Convert to fraction form
    67,230/97,692 = 97,692/x
  3. Step 3: Cross multiply
    67,230x = 97,692 × 97,692
  4. Step 4: Simplify right side
    67,230x = 9,543,726,864
  5. Step 5: Solve for x
    x = 9,543,726,864/67,230
  6. Step 6: Final answer
    x = 141,956.37

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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.