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Finding the Third Proportional to 61,923 and 135,711

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Solution

The third proportional to 61,923 and 135,711 is: 297,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,923 : 135,711 = 135,711 : x
  2. Step 2: Convert to fraction form
    61,923/135,711 = 135,711/x
  3. Step 3: Cross multiply
    61,923x = 135,711 × 135,711
  4. Step 4: Simplify right side
    61,923x = 18,417,475,521
  5. Step 5: Solve for x
    x = 18,417,475,521/61,923
  6. Step 6: Final answer
    x = 297,425.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.