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Finding the Third Proportional to 82,564 and 176,791

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Solution

The third proportional to 82,564 and 176,791 is: 378,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,564 : 176,791 = 176,791 : x
  2. Step 2: Convert to fraction form
    82,564/176,791 = 176,791/x
  3. Step 3: Cross multiply
    82,564x = 176,791 × 176,791
  4. Step 4: Simplify right side
    82,564x = 31,255,057,681
  5. Step 5: Solve for x
    x = 31,255,057,681/82,564
  6. Step 6: Final answer
    x = 378,555.52

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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.