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Finding the Third Proportional to 96,814 and 155,969

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Solution

The third proportional to 96,814 and 155,969 is: 251,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,814 : 155,969 = 155,969 : x
  2. Step 2: Convert to fraction form
    96,814/155,969 = 155,969/x
  3. Step 3: Cross multiply
    96,814x = 155,969 × 155,969
  4. Step 4: Simplify right side
    96,814x = 24,326,328,961
  5. Step 5: Solve for x
    x = 24,326,328,961/96,814
  6. Step 6: Final answer
    x = 251,268.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.