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Finding the Third Proportional to 110,406.38 and 175,105.13

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Solution

The third proportional to 110,406.38 and 175,105.13 is: 277,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,406.38 : 175,105.13 = 175,105.13 : x
  2. Step 2: Convert to fraction form
    110,406.38/175,105.13 = 175,105.13/x
  3. Step 3: Cross multiply
    110,406.38x = 175,105.13 × 175,105.13
  4. Step 4: Simplify right side
    110,406.38x = 30,661,804,801.27
  5. Step 5: Solve for x
    x = 30,661,804,801.27/110,406.38
  6. Step 6: Final answer
    x = 277,717.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.