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Finding the Third Proportional to 71,376 and 96,144

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Solution

The third proportional to 71,376 and 96,144 is: 129,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376 : 96,144 = 96,144 : x
  2. Step 2: Convert to fraction form
    71,376/96,144 = 96,144/x
  3. Step 3: Cross multiply
    71,376x = 96,144 × 96,144
  4. Step 4: Simplify right side
    71,376x = 9,243,668,736
  5. Step 5: Solve for x
    x = 9,243,668,736/71,376
  6. Step 6: Final answer
    x = 129,506.68

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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.