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Finding the Third Proportional to 82,456 and 176,572

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Solution

The third proportional to 82,456 and 176,572 is: 378,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,456 : 176,572 = 176,572 : x
  2. Step 2: Convert to fraction form
    82,456/176,572 = 176,572/x
  3. Step 3: Cross multiply
    82,456x = 176,572 × 176,572
  4. Step 4: Simplify right side
    82,456x = 31,177,671,184
  5. Step 5: Solve for x
    x = 31,177,671,184/82,456
  6. Step 6: Final answer
    x = 378,112.83

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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.