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Finding the Third Proportional to 25,923 and 60,703

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Solution

The third proportional to 25,923 and 60,703 is: 142,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,923 : 60,703 = 60,703 : x
  2. Step 2: Convert to fraction form
    25,923/60,703 = 60,703/x
  3. Step 3: Cross multiply
    25,923x = 60,703 × 60,703
  4. Step 4: Simplify right side
    25,923x = 3,684,854,209
  5. Step 5: Solve for x
    x = 3,684,854,209/25,923
  6. Step 6: Final answer
    x = 142,146.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.