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Finding the Third Proportional to 52,717 and 114,251

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Solution

The third proportional to 52,717 and 114,251 is: 247,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,717 : 114,251 = 114,251 : x
  2. Step 2: Convert to fraction form
    52,717/114,251 = 114,251/x
  3. Step 3: Cross multiply
    52,717x = 114,251 × 114,251
  4. Step 4: Simplify right side
    52,717x = 13,053,291,001
  5. Step 5: Solve for x
    x = 13,053,291,001/52,717
  6. Step 6: Final answer
    x = 247,610.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.