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Finding the Third Proportional to 66,444 and 101,742

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Solution

The third proportional to 66,444 and 101,742 is: 155,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,444 : 101,742 = 101,742 : x
  2. Step 2: Convert to fraction form
    66,444/101,742 = 101,742/x
  3. Step 3: Cross multiply
    66,444x = 101,742 × 101,742
  4. Step 4: Simplify right side
    66,444x = 10,351,434,564
  5. Step 5: Solve for x
    x = 10,351,434,564/66,444
  6. Step 6: Final answer
    x = 155,791.86

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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.