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Finding the Third Proportional to 53,924 and 115,654

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Solution

The third proportional to 53,924 and 115,654 is: 248,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,924 : 115,654 = 115,654 : x
  2. Step 2: Convert to fraction form
    53,924/115,654 = 115,654/x
  3. Step 3: Cross multiply
    53,924x = 115,654 × 115,654
  4. Step 4: Simplify right side
    53,924x = 13,375,847,716
  5. Step 5: Solve for x
    x = 13,375,847,716/53,924
  6. Step 6: Final answer
    x = 248,049.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.