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Finding the Third Proportional to 66,864 and 145,248

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Solution

The third proportional to 66,864 and 145,248 is: 315,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,864 : 145,248 = 145,248 : x
  2. Step 2: Convert to fraction form
    66,864/145,248 = 145,248/x
  3. Step 3: Cross multiply
    66,864x = 145,248 × 145,248
  4. Step 4: Simplify right side
    66,864x = 21,096,981,504
  5. Step 5: Solve for x
    x = 21,096,981,504/66,864
  6. Step 6: Final answer
    x = 315,520.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.