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Finding the Third Proportional to 52,871 and 75,994

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Solution

The third proportional to 52,871 and 75,994 is: 109,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,871 : 75,994 = 75,994 : x
  2. Step 2: Convert to fraction form
    52,871/75,994 = 75,994/x
  3. Step 3: Cross multiply
    52,871x = 75,994 × 75,994
  4. Step 4: Simplify right side
    52,871x = 5,775,088,036
  5. Step 5: Solve for x
    x = 5,775,088,036/52,871
  6. Step 6: Final answer
    x = 109,229.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.