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Finding the Third Proportional to 66,226 and 141,923

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Solution

The third proportional to 66,226 and 141,923 is: 304,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,226 : 141,923 = 141,923 : x
  2. Step 2: Convert to fraction form
    66,226/141,923 = 141,923/x
  3. Step 3: Cross multiply
    66,226x = 141,923 × 141,923
  4. Step 4: Simplify right side
    66,226x = 20,142,137,929
  5. Step 5: Solve for x
    x = 20,142,137,929/66,226
  6. Step 6: Final answer
    x = 304,142.45

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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.