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Finding the Third Proportional to 51,976 and 121,464

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Solution

The third proportional to 51,976 and 121,464 is: 283,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976 : 121,464 = 121,464 : x
  2. Step 2: Convert to fraction form
    51,976/121,464 = 121,464/x
  3. Step 3: Cross multiply
    51,976x = 121,464 × 121,464
  4. Step 4: Simplify right side
    51,976x = 14,753,503,296
  5. Step 5: Solve for x
    x = 14,753,503,296/51,976
  6. Step 6: Final answer
    x = 283,852.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.