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Finding the Third Proportional to 114,786 and 168,398

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Solution

The third proportional to 114,786 and 168,398 is: 247,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,786 : 168,398 = 168,398 : x
  2. Step 2: Convert to fraction form
    114,786/168,398 = 168,398/x
  3. Step 3: Cross multiply
    114,786x = 168,398 × 168,398
  4. Step 4: Simplify right side
    114,786x = 28,357,886,404
  5. Step 5: Solve for x
    x = 28,357,886,404/114,786
  6. Step 6: Final answer
    x = 247,050.04

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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.