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Finding the Third Proportional to 110,838.38 and 175,537.13

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Solution

The third proportional to 110,838.38 and 175,537.13 is: 278,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,838.38 : 175,537.13 = 175,537.13 : x
  2. Step 2: Convert to fraction form
    110,838.38/175,537.13 = 175,537.13/x
  3. Step 3: Cross multiply
    110,838.38x = 175,537.13 × 175,537.13
  4. Step 4: Simplify right side
    110,838.38x = 30,813,282,253.27
  5. Step 5: Solve for x
    x = 30,813,282,253.27/110,838.38
  6. Step 6: Final answer
    x = 278,001.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.