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Finding the Third Proportional to 82,481 and 176,625

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Solution

The third proportional to 82,481 and 176,625 is: 378,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481 : 176,625 = 176,625 : x
  2. Step 2: Convert to fraction form
    82,481/176,625 = 176,625/x
  3. Step 3: Cross multiply
    82,481x = 176,625 × 176,625
  4. Step 4: Simplify right side
    82,481x = 31,196,390,625
  5. Step 5: Solve for x
    x = 31,196,390,625/82,481
  6. Step 6: Final answer
    x = 378,225.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.