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Finding the Third Proportional to 79,332 and 171,726

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Solution

The third proportional to 79,332 and 171,726 is: 371,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,332 : 171,726 = 171,726 : x
  2. Step 2: Convert to fraction form
    79,332/171,726 = 171,726/x
  3. Step 3: Cross multiply
    79,332x = 171,726 × 171,726
  4. Step 4: Simplify right side
    79,332x = 29,489,819,076
  5. Step 5: Solve for x
    x = 29,489,819,076/79,332
  6. Step 6: Final answer
    x = 371,726.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.