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Finding the Third Proportional to 81,846 and 121,464

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Solution

The third proportional to 81,846 and 121,464 is: 180,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,846 : 121,464 = 121,464 : x
  2. Step 2: Convert to fraction form
    81,846/121,464 = 121,464/x
  3. Step 3: Cross multiply
    81,846x = 121,464 × 121,464
  4. Step 4: Simplify right side
    81,846x = 14,753,503,296
  5. Step 5: Solve for x
    x = 14,753,503,296/81,846
  6. Step 6: Final answer
    x = 180,259.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.