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Finding the Third Proportional to 100,958.75 and 156,306

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Solution

The third proportional to 100,958.75 and 156,306 is: 241,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,958.75 : 156,306 = 156,306 : x
  2. Step 2: Convert to fraction form
    100,958.75/156,306 = 156,306/x
  3. Step 3: Cross multiply
    100,958.75x = 156,306 × 156,306
  4. Step 4: Simplify right side
    100,958.75x = 24,431,565,636
  5. Step 5: Solve for x
    x = 24,431,565,636/100,958.75
  6. Step 6: Final answer
    x = 241,995.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.