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Finding the Third Proportional to 84,713 and 176,443

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Solution

The third proportional to 84,713 and 176,443 is: 367,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,713 : 176,443 = 176,443 : x
  2. Step 2: Convert to fraction form
    84,713/176,443 = 176,443/x
  3. Step 3: Cross multiply
    84,713x = 176,443 × 176,443
  4. Step 4: Simplify right side
    84,713x = 31,132,132,249
  5. Step 5: Solve for x
    x = 31,132,132,249/84,713
  6. Step 6: Final answer
    x = 367,501.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.