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Finding the Third Proportional to 71,363 and 96,125

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Solution

The third proportional to 71,363 and 96,125 is: 129,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,363 : 96,125 = 96,125 : x
  2. Step 2: Convert to fraction form
    71,363/96,125 = 96,125/x
  3. Step 3: Cross multiply
    71,363x = 96,125 × 96,125
  4. Step 4: Simplify right side
    71,363x = 9,240,015,625
  5. Step 5: Solve for x
    x = 9,240,015,625/71,363
  6. Step 6: Final answer
    x = 129,479.08

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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.