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Finding the Third Proportional to 45,306 and 67,722

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Solution

The third proportional to 45,306 and 67,722 is: 101,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,306 : 67,722 = 67,722 : x
  2. Step 2: Convert to fraction form
    45,306/67,722 = 67,722/x
  3. Step 3: Cross multiply
    45,306x = 67,722 × 67,722
  4. Step 4: Simplify right side
    45,306x = 4,586,269,284
  5. Step 5: Solve for x
    x = 4,586,269,284/45,306
  6. Step 6: Final answer
    x = 101,228.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.