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Finding the Third Proportional to 82,449 and 176,559

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Solution

The third proportional to 82,449 and 176,559 is: 378,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,449 : 176,559 = 176,559 : x
  2. Step 2: Convert to fraction form
    82,449/176,559 = 176,559/x
  3. Step 3: Cross multiply
    82,449x = 176,559 × 176,559
  4. Step 4: Simplify right side
    82,449x = 31,173,080,481
  5. Step 5: Solve for x
    x = 31,173,080,481/82,449
  6. Step 6: Final answer
    x = 378,089.25

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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.