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Finding the Third Proportional to 104,176.13 and 155,578.22

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Solution

The third proportional to 104,176.13 and 155,578.22 is: 232,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,176.13 : 155,578.22 = 155,578.22 : x
  2. Step 2: Convert to fraction form
    104,176.13/155,578.22 = 155,578.22/x
  3. Step 3: Cross multiply
    104,176.13x = 155,578.22 × 155,578.22
  4. Step 4: Simplify right side
    104,176.13x = 24,204,582,149.42
  5. Step 5: Solve for x
    x = 24,204,582,149.42/104,176.13
  6. Step 6: Final answer
    x = 232,342.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.