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Finding the Third Proportional to 95,314 and 141,350

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Solution

The third proportional to 95,314 and 141,350 is: 209,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,314 : 141,350 = 141,350 : x
  2. Step 2: Convert to fraction form
    95,314/141,350 = 141,350/x
  3. Step 3: Cross multiply
    95,314x = 141,350 × 141,350
  4. Step 4: Simplify right side
    95,314x = 19,979,822,500
  5. Step 5: Solve for x
    x = 19,979,822,500/95,314
  6. Step 6: Final answer
    x = 209,621.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.