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Finding the Third Proportional to 67,434 and 97,134

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Solution

The third proportional to 67,434 and 97,134 is: 139,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,434 : 97,134 = 97,134 : x
  2. Step 2: Convert to fraction form
    67,434/97,134 = 97,134/x
  3. Step 3: Cross multiply
    67,434x = 97,134 × 97,134
  4. Step 4: Simplify right side
    67,434x = 9,435,013,956
  5. Step 5: Solve for x
    x = 9,435,013,956/67,434
  6. Step 6: Final answer
    x = 139,914.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.