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Finding the Third Proportional to 52,220 and 84,081

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Solution

The third proportional to 52,220 and 84,081 is: 135,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,220 : 84,081 = 84,081 : x
  2. Step 2: Convert to fraction form
    52,220/84,081 = 84,081/x
  3. Step 3: Cross multiply
    52,220x = 84,081 × 84,081
  4. Step 4: Simplify right side
    52,220x = 7,069,614,561
  5. Step 5: Solve for x
    x = 7,069,614,561/52,220
  6. Step 6: Final answer
    x = 135,381.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.