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Finding the Third Proportional to 53,614 and 117,800

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Solution

The third proportional to 53,614 and 117,800 is: 258,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,614 : 117,800 = 117,800 : x
  2. Step 2: Convert to fraction form
    53,614/117,800 = 117,800/x
  3. Step 3: Cross multiply
    53,614x = 117,800 × 117,800
  4. Step 4: Simplify right side
    53,614x = 13,876,840,000
  5. Step 5: Solve for x
    x = 13,876,840,000/53,614
  6. Step 6: Final answer
    x = 258,828.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.