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Finding the Third Proportional to 51,207.62 and 112,578.17

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Solution

The third proportional to 51,207.62 and 112,578.17 is: 247,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207.62 : 112,578.17 = 112,578.17 : x
  2. Step 2: Convert to fraction form
    51,207.62/112,578.17 = 112,578.17/x
  3. Step 3: Cross multiply
    51,207.62x = 112,578.17 × 112,578.17
  4. Step 4: Simplify right side
    51,207.62x = 12,673,845,332.42
  5. Step 5: Solve for x
    x = 12,673,845,332.42/51,207.62
  6. Step 6: Final answer
    x = 247,499.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.