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Finding the Third Proportional to 45,447 and 69,759

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Solution

The third proportional to 45,447 and 69,759 is: 107,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,447 : 69,759 = 69,759 : x
  2. Step 2: Convert to fraction form
    45,447/69,759 = 69,759/x
  3. Step 3: Cross multiply
    45,447x = 69,759 × 69,759
  4. Step 4: Simplify right side
    45,447x = 4,866,318,081
  5. Step 5: Solve for x
    x = 4,866,318,081/45,447
  6. Step 6: Final answer
    x = 107,076.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.