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Finding the Third Proportional to 66,923 and 100,952

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Solution

The third proportional to 66,923 and 100,952 is: 152,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,923 : 100,952 = 100,952 : x
  2. Step 2: Convert to fraction form
    66,923/100,952 = 100,952/x
  3. Step 3: Cross multiply
    66,923x = 100,952 × 100,952
  4. Step 4: Simplify right side
    66,923x = 10,191,306,304
  5. Step 5: Solve for x
    x = 10,191,306,304/66,923
  6. Step 6: Final answer
    x = 152,284.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.