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Finding the Third Proportional to 49,479.75 and 116,686.13

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Solution

The third proportional to 49,479.75 and 116,686.13 is: 275,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,479.75 : 116,686.13 = 116,686.13 : x
  2. Step 2: Convert to fraction form
    49,479.75/116,686.13 = 116,686.13/x
  3. Step 3: Cross multiply
    49,479.75x = 116,686.13 × 116,686.13
  4. Step 4: Simplify right side
    49,479.75x = 13,615,651,767.52
  5. Step 5: Solve for x
    x = 13,615,651,767.52/49,479.75
  6. Step 6: Final answer
    x = 275,176.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.