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Finding the Third Proportional to 66,474 and 141,552

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Solution

The third proportional to 66,474 and 141,552 is: 301,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474 : 141,552 = 141,552 : x
  2. Step 2: Convert to fraction form
    66,474/141,552 = 141,552/x
  3. Step 3: Cross multiply
    66,474x = 141,552 × 141,552
  4. Step 4: Simplify right side
    66,474x = 20,036,968,704
  5. Step 5: Solve for x
    x = 20,036,968,704/66,474
  6. Step 6: Final answer
    x = 301,425.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.