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Finding the Third Proportional to 52,890 and 81,963

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Solution

The third proportional to 52,890 and 81,963 is: 127,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,890 : 81,963 = 81,963 : x
  2. Step 2: Convert to fraction form
    52,890/81,963 = 81,963/x
  3. Step 3: Cross multiply
    52,890x = 81,963 × 81,963
  4. Step 4: Simplify right side
    52,890x = 6,717,933,369
  5. Step 5: Solve for x
    x = 6,717,933,369/52,890
  6. Step 6: Final answer
    x = 127,017.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.