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Finding the Third Proportional to 90,314 and 140,300

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Solution

The third proportional to 90,314 and 140,300 is: 217,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,314 : 140,300 = 140,300 : x
  2. Step 2: Convert to fraction form
    90,314/140,300 = 140,300/x
  3. Step 3: Cross multiply
    90,314x = 140,300 × 140,300
  4. Step 4: Simplify right side
    90,314x = 19,684,090,000
  5. Step 5: Solve for x
    x = 19,684,090,000/90,314
  6. Step 6: Final answer
    x = 217,951.70

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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.