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Finding the Third Proportional to 53,441 and 114,921

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Solution

The third proportional to 53,441 and 114,921 is: 247,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,441 : 114,921 = 114,921 : x
  2. Step 2: Convert to fraction form
    53,441/114,921 = 114,921/x
  3. Step 3: Cross multiply
    53,441x = 114,921 × 114,921
  4. Step 4: Simplify right side
    53,441x = 13,206,836,241
  5. Step 5: Solve for x
    x = 13,206,836,241/53,441
  6. Step 6: Final answer
    x = 247,129.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.