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Finding the Third Proportional to 45,759 and 68,237

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Solution

The third proportional to 45,759 and 68,237 is: 101,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,759 : 68,237 = 68,237 : x
  2. Step 2: Convert to fraction form
    45,759/68,237 = 68,237/x
  3. Step 3: Cross multiply
    45,759x = 68,237 × 68,237
  4. Step 4: Simplify right side
    45,759x = 4,656,288,169
  5. Step 5: Solve for x
    x = 4,656,288,169/45,759
  6. Step 6: Final answer
    x = 101,756.77

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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.