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Finding the Third Proportional to 34,017 and 72,081

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Solution

The third proportional to 34,017 and 72,081 is: 152,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017 : 72,081 = 72,081 : x
  2. Step 2: Convert to fraction form
    34,017/72,081 = 72,081/x
  3. Step 3: Cross multiply
    34,017x = 72,081 × 72,081
  4. Step 4: Simplify right side
    34,017x = 5,195,670,561
  5. Step 5: Solve for x
    x = 5,195,670,561/34,017
  6. Step 6: Final answer
    x = 152,737.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.