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Finding the Third Proportional to 79,324 and 172,472

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Solution

The third proportional to 79,324 and 172,472 is: 375,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,324 : 172,472 = 172,472 : x
  2. Step 2: Convert to fraction form
    79,324/172,472 = 172,472/x
  3. Step 3: Cross multiply
    79,324x = 172,472 × 172,472
  4. Step 4: Simplify right side
    79,324x = 29,746,590,784
  5. Step 5: Solve for x
    x = 29,746,590,784/79,324
  6. Step 6: Final answer
    x = 375,001.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.