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Finding the Third Proportional to 70,434 and 95,931

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Solution

The third proportional to 70,434 and 95,931 is: 130,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434 : 95,931 = 95,931 : x
  2. Step 2: Convert to fraction form
    70,434/95,931 = 95,931/x
  3. Step 3: Cross multiply
    70,434x = 95,931 × 95,931
  4. Step 4: Simplify right side
    70,434x = 9,202,756,761
  5. Step 5: Solve for x
    x = 9,202,756,761/70,434
  6. Step 6: Final answer
    x = 130,657.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.