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Finding the Third Proportional to 68,917.38 and 148,394.13

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Solution

The third proportional to 68,917.38 and 148,394.13 is: 319,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,917.38 : 148,394.13 = 148,394.13 : x
  2. Step 2: Convert to fraction form
    68,917.38/148,394.13 = 148,394.13/x
  3. Step 3: Cross multiply
    68,917.38x = 148,394.13 × 148,394.13
  4. Step 4: Simplify right side
    68,917.38x = 22,020,816,334.52
  5. Step 5: Solve for x
    x = 22,020,816,334.52/68,917.38
  6. Step 6: Final answer
    x = 319,524.89

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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.