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Finding the Third Proportional to 63,144 and 96,876

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Solution

The third proportional to 63,144 and 96,876 is: 148,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,144 : 96,876 = 96,876 : x
  2. Step 2: Convert to fraction form
    63,144/96,876 = 96,876/x
  3. Step 3: Cross multiply
    63,144x = 96,876 × 96,876
  4. Step 4: Simplify right side
    63,144x = 9,384,959,376
  5. Step 5: Solve for x
    x = 9,384,959,376/63,144
  6. Step 6: Final answer
    x = 148,627.89

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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.