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Finding the Third Proportional to 81,454 and 176,827

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Solution

The third proportional to 81,454 and 176,827 is: 383,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,454 : 176,827 = 176,827 : x
  2. Step 2: Convert to fraction form
    81,454/176,827 = 176,827/x
  3. Step 3: Cross multiply
    81,454x = 176,827 × 176,827
  4. Step 4: Simplify right side
    81,454x = 31,267,787,929
  5. Step 5: Solve for x
    x = 31,267,787,929/81,454
  6. Step 6: Final answer
    x = 383,870.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.