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Finding the Third Proportional to 114,544.13 and 168,385.71

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Solution

The third proportional to 114,544.13 and 168,385.71 is: 247,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544.13 : 168,385.71 = 168,385.71 : x
  2. Step 2: Convert to fraction form
    114,544.13/168,385.71 = 168,385.71/x
  3. Step 3: Cross multiply
    114,544.13x = 168,385.71 × 168,385.71
  4. Step 4: Simplify right side
    114,544.13x = 28,353,747,647.93
  5. Step 5: Solve for x
    x = 28,353,747,647.93/114,544.13
  6. Step 6: Final answer
    x = 247,535.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.