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Finding the Third Proportional to 67,190 and 97,126

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Solution

The third proportional to 67,190 and 97,126 is: 140,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,190 : 97,126 = 97,126 : x
  2. Step 2: Convert to fraction form
    67,190/97,126 = 97,126/x
  3. Step 3: Cross multiply
    67,190x = 97,126 × 97,126
  4. Step 4: Simplify right side
    67,190x = 9,433,459,876
  5. Step 5: Solve for x
    x = 9,433,459,876/67,190
  6. Step 6: Final answer
    x = 140,399.76

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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.