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Finding the Third Proportional to 40,224 and 71,376

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Solution

The third proportional to 40,224 and 71,376 is: 126,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,224 : 71,376 = 71,376 : x
  2. Step 2: Convert to fraction form
    40,224/71,376 = 71,376/x
  3. Step 3: Cross multiply
    40,224x = 71,376 × 71,376
  4. Step 4: Simplify right side
    40,224x = 5,094,533,376
  5. Step 5: Solve for x
    x = 5,094,533,376/40,224
  6. Step 6: Final answer
    x = 126,654.07

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.