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Finding the Third Proportional to 114,382.13 and 169,917.75

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Solution

The third proportional to 114,382.13 and 169,917.75 is: 252,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,382.13 : 169,917.75 = 169,917.75 : x
  2. Step 2: Convert to fraction form
    114,382.13/169,917.75 = 169,917.75/x
  3. Step 3: Cross multiply
    114,382.13x = 169,917.75 × 169,917.75
  4. Step 4: Simplify right side
    114,382.13x = 28,872,041,765.06
  5. Step 5: Solve for x
    x = 28,872,041,765.06/114,382.13
  6. Step 6: Final answer
    x = 252,417.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.