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Finding the Third Proportional to 49,712.25 and 75,291.75

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Solution

The third proportional to 49,712.25 and 75,291.75 is: 114,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,712.25 : 75,291.75 = 75,291.75 : x
  2. Step 2: Convert to fraction form
    49,712.25/75,291.75 = 75,291.75/x
  3. Step 3: Cross multiply
    49,712.25x = 75,291.75 × 75,291.75
  4. Step 4: Simplify right side
    49,712.25x = 5,668,847,618.06
  5. Step 5: Solve for x
    x = 5,668,847,618.06/49,712.25
  6. Step 6: Final answer
    x = 114,033.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.