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Finding the Third Proportional to 114,001 and 247,682

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Solution

The third proportional to 114,001 and 247,682 is: 538,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,001 : 247,682 = 247,682 : x
  2. Step 2: Convert to fraction form
    114,001/247,682 = 247,682/x
  3. Step 3: Cross multiply
    114,001x = 247,682 × 247,682
  4. Step 4: Simplify right side
    114,001x = 61,346,373,124
  5. Step 5: Solve for x
    x = 61,346,373,124/114,001
  6. Step 6: Final answer
    x = 538,121.36

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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.