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Finding the Third Proportional to 82,451 and 176,563

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Solution

The third proportional to 82,451 and 176,563 is: 378,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,451 : 176,563 = 176,563 : x
  2. Step 2: Convert to fraction form
    82,451/176,563 = 176,563/x
  3. Step 3: Cross multiply
    82,451x = 176,563 × 176,563
  4. Step 4: Simplify right side
    82,451x = 31,174,492,969
  5. Step 5: Solve for x
    x = 31,174,492,969/82,451
  6. Step 6: Final answer
    x = 378,097.21

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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.