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Finding the Third Proportional to 66,228 and 141,927

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Solution

The third proportional to 66,228 and 141,927 is: 304,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,228 : 141,927 = 141,927 : x
  2. Step 2: Convert to fraction form
    66,228/141,927 = 141,927/x
  3. Step 3: Cross multiply
    66,228x = 141,927 × 141,927
  4. Step 4: Simplify right side
    66,228x = 20,143,273,329
  5. Step 5: Solve for x
    x = 20,143,273,329/66,228
  6. Step 6: Final answer
    x = 304,150.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.