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Finding the Third Proportional to 34,017 and 79,080

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Solution

The third proportional to 34,017 and 79,080 is: 183,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017 : 79,080 = 79,080 : x
  2. Step 2: Convert to fraction form
    34,017/79,080 = 79,080/x
  3. Step 3: Cross multiply
    34,017x = 79,080 × 79,080
  4. Step 4: Simplify right side
    34,017x = 6,253,646,400
  5. Step 5: Solve for x
    x = 6,253,646,400/34,017
  6. Step 6: Final answer
    x = 183,838.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.