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Finding the Third Proportional to 53,734 and 115,398

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Solution

The third proportional to 53,734 and 115,398 is: 247,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,734 : 115,398 = 115,398 : x
  2. Step 2: Convert to fraction form
    53,734/115,398 = 115,398/x
  3. Step 3: Cross multiply
    53,734x = 115,398 × 115,398
  4. Step 4: Simplify right side
    53,734x = 13,316,698,404
  5. Step 5: Solve for x
    x = 13,316,698,404/53,734
  6. Step 6: Final answer
    x = 247,826.30

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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.