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Finding the Third Proportional to 45,396 and 67,446

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Solution

The third proportional to 45,396 and 67,446 is: 100,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,396 : 67,446 = 67,446 : x
  2. Step 2: Convert to fraction form
    45,396/67,446 = 67,446/x
  3. Step 3: Cross multiply
    45,396x = 67,446 × 67,446
  4. Step 4: Simplify right side
    45,396x = 4,548,962,916
  5. Step 5: Solve for x
    x = 4,548,962,916/45,396
  6. Step 6: Final answer
    x = 100,206.25

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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.