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Finding the Third Proportional to 49,612 and 75,606

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Solution

The third proportional to 49,612 and 75,606 is: 115,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,612 : 75,606 = 75,606 : x
  2. Step 2: Convert to fraction form
    49,612/75,606 = 75,606/x
  3. Step 3: Cross multiply
    49,612x = 75,606 × 75,606
  4. Step 4: Simplify right side
    49,612x = 5,716,267,236
  5. Step 5: Solve for x
    x = 5,716,267,236/49,612
  6. Step 6: Final answer
    x = 115,219.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.