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Finding the Third Proportional to 113,179 and 169,782

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Solution

The third proportional to 113,179 and 169,782 is: 254,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,179 : 169,782 = 169,782 : x
  2. Step 2: Convert to fraction form
    113,179/169,782 = 169,782/x
  3. Step 3: Cross multiply
    113,179x = 169,782 × 169,782
  4. Step 4: Simplify right side
    113,179x = 28,825,927,524
  5. Step 5: Solve for x
    x = 28,825,927,524/113,179
  6. Step 6: Final answer
    x = 254,693.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.