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Finding the Third Proportional to 95,978 and 149,403

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Solution

The third proportional to 95,978 and 149,403 is: 232,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,978 : 149,403 = 149,403 : x
  2. Step 2: Convert to fraction form
    95,978/149,403 = 149,403/x
  3. Step 3: Cross multiply
    95,978x = 149,403 × 149,403
  4. Step 4: Simplify right side
    95,978x = 22,321,256,409
  5. Step 5: Solve for x
    x = 22,321,256,409/95,978
  6. Step 6: Final answer
    x = 232,566.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.