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Finding the Third Proportional to 34,566 and 75,747

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Solution

The third proportional to 34,566 and 75,747 is: 165,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,566 : 75,747 = 75,747 : x
  2. Step 2: Convert to fraction form
    34,566/75,747 = 75,747/x
  3. Step 3: Cross multiply
    34,566x = 75,747 × 75,747
  4. Step 4: Simplify right side
    34,566x = 5,737,608,009
  5. Step 5: Solve for x
    x = 5,737,608,009/34,566
  6. Step 6: Final answer
    x = 165,989.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.