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Finding the Third Proportional to 52,954 and 81,919

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Solution

The third proportional to 52,954 and 81,919 is: 126,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,954 : 81,919 = 81,919 : x
  2. Step 2: Convert to fraction form
    52,954/81,919 = 81,919/x
  3. Step 3: Cross multiply
    52,954x = 81,919 × 81,919
  4. Step 4: Simplify right side
    52,954x = 6,710,722,561
  5. Step 5: Solve for x
    x = 6,710,722,561/52,954
  6. Step 6: Final answer
    x = 126,727.40

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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.