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Finding the Third Proportional to 75,474 and 158,292

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Solution

The third proportional to 75,474 and 158,292 is: 331,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,474 : 158,292 = 158,292 : x
  2. Step 2: Convert to fraction form
    75,474/158,292 = 158,292/x
  3. Step 3: Cross multiply
    75,474x = 158,292 × 158,292
  4. Step 4: Simplify right side
    75,474x = 25,056,357,264
  5. Step 5: Solve for x
    x = 25,056,357,264/75,474
  6. Step 6: Final answer
    x = 331,986.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.