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Finding the Third Proportional to 66,424 and 140,948

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Solution

The third proportional to 66,424 and 140,948 is: 299,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,424 : 140,948 = 140,948 : x
  2. Step 2: Convert to fraction form
    66,424/140,948 = 140,948/x
  3. Step 3: Cross multiply
    66,424x = 140,948 × 140,948
  4. Step 4: Simplify right side
    66,424x = 19,866,338,704
  5. Step 5: Solve for x
    x = 19,866,338,704/66,424
  6. Step 6: Final answer
    x = 299,083.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.