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Finding the Third Proportional to 95,565 and 151,822.69

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Solution

The third proportional to 95,565 and 151,822.69 is: 241,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,565 : 151,822.69 = 151,822.69 : x
  2. Step 2: Convert to fraction form
    95,565/151,822.69 = 151,822.69/x
  3. Step 3: Cross multiply
    95,565x = 151,822.69 × 151,822.69
  4. Step 4: Simplify right side
    95,565x = 23,050,128,439.72
  5. Step 5: Solve for x
    x = 23,050,128,439.72/95,565
  6. Step 6: Final answer
    x = 241,198.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.