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Finding the Third Proportional to 90,996 and 140,382

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Solution

The third proportional to 90,996 and 140,382 is: 216,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,996 : 140,382 = 140,382 : x
  2. Step 2: Convert to fraction form
    90,996/140,382 = 140,382/x
  3. Step 3: Cross multiply
    90,996x = 140,382 × 140,382
  4. Step 4: Simplify right side
    90,996x = 19,707,105,924
  5. Step 5: Solve for x
    x = 19,707,105,924/90,996
  6. Step 6: Final answer
    x = 216,571.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.