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Finding the Third Proportional to 78,014.81 and 168,046.73

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Solution

The third proportional to 78,014.81 and 168,046.73 is: 361,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.81 : 168,046.73 = 168,046.73 : x
  2. Step 2: Convert to fraction form
    78,014.81/168,046.73 = 168,046.73/x
  3. Step 3: Cross multiply
    78,014.81x = 168,046.73 × 168,046.73
  4. Step 4: Simplify right side
    78,014.81x = 28,239,704,934.10
  5. Step 5: Solve for x
    x = 28,239,704,934.10/78,014.81
  6. Step 6: Final answer
    x = 361,978.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.