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Finding the Third Proportional to 59,538 and 81,081

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Solution

The third proportional to 59,538 and 81,081 is: 110,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,538 : 81,081 = 81,081 : x
  2. Step 2: Convert to fraction form
    59,538/81,081 = 81,081/x
  3. Step 3: Cross multiply
    59,538x = 81,081 × 81,081
  4. Step 4: Simplify right side
    59,538x = 6,574,128,561
  5. Step 5: Solve for x
    x = 6,574,128,561/59,538
  6. Step 6: Final answer
    x = 110,419.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.