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Finding the Third Proportional to 51,850 and 113,744

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Solution

The third proportional to 51,850 and 113,744 is: 249,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,850 : 113,744 = 113,744 : x
  2. Step 2: Convert to fraction form
    51,850/113,744 = 113,744/x
  3. Step 3: Cross multiply
    51,850x = 113,744 × 113,744
  4. Step 4: Simplify right side
    51,850x = 12,937,697,536
  5. Step 5: Solve for x
    x = 12,937,697,536/51,850
  6. Step 6: Final answer
    x = 249,521.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.