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Finding the Third Proportional to 44,847 and 105,716.25

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Solution

The third proportional to 44,847 and 105,716.25 is: 249,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,847 : 105,716.25 = 105,716.25 : x
  2. Step 2: Convert to fraction form
    44,847/105,716.25 = 105,716.25/x
  3. Step 3: Cross multiply
    44,847x = 105,716.25 × 105,716.25
  4. Step 4: Simplify right side
    44,847x = 11,175,925,514.06
  5. Step 5: Solve for x
    x = 11,175,925,514.06/44,847
  6. Step 6: Final answer
    x = 249,201.18

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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.