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Finding the Third Proportional to 34,025 and 74,691

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Solution

The third proportional to 34,025 and 74,691 is: 163,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,025 : 74,691 = 74,691 : x
  2. Step 2: Convert to fraction form
    34,025/74,691 = 74,691/x
  3. Step 3: Cross multiply
    34,025x = 74,691 × 74,691
  4. Step 4: Simplify right side
    34,025x = 5,578,745,481
  5. Step 5: Solve for x
    x = 5,578,745,481/34,025
  6. Step 6: Final answer
    x = 163,960.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.