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Finding the Third Proportional to 129,088 and 185,923

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Solution

The third proportional to 129,088 and 185,923 is: 267,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,088 : 185,923 = 185,923 : x
  2. Step 2: Convert to fraction form
    129,088/185,923 = 185,923/x
  3. Step 3: Cross multiply
    129,088x = 185,923 × 185,923
  4. Step 4: Simplify right side
    129,088x = 34,567,361,929
  5. Step 5: Solve for x
    x = 34,567,361,929/129,088
  6. Step 6: Final answer
    x = 267,781.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.