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Finding the Third Proportional to 71,364 and 96,126

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Solution

The third proportional to 71,364 and 96,126 is: 129,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,364 : 96,126 = 96,126 : x
  2. Step 2: Convert to fraction form
    71,364/96,126 = 96,126/x
  3. Step 3: Cross multiply
    71,364x = 96,126 × 96,126
  4. Step 4: Simplify right side
    71,364x = 9,240,207,876
  5. Step 5: Solve for x
    x = 9,240,207,876/71,364
  6. Step 6: Final answer
    x = 129,479.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.