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Finding the Third Proportional to 72,240 and 96,624

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Solution

The third proportional to 72,240 and 96,624 is: 129,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,240 : 96,624 = 96,624 : x
  2. Step 2: Convert to fraction form
    72,240/96,624 = 96,624/x
  3. Step 3: Cross multiply
    72,240x = 96,624 × 96,624
  4. Step 4: Simplify right side
    72,240x = 9,336,197,376
  5. Step 5: Solve for x
    x = 9,336,197,376/72,240
  6. Step 6: Final answer
    x = 129,238.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.