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Finding the Third Proportional to 90,270 and 140,403

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Solution

The third proportional to 90,270 and 140,403 is: 218,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,270 : 140,403 = 140,403 : x
  2. Step 2: Convert to fraction form
    90,270/140,403 = 140,403/x
  3. Step 3: Cross multiply
    90,270x = 140,403 × 140,403
  4. Step 4: Simplify right side
    90,270x = 19,713,002,409
  5. Step 5: Solve for x
    x = 19,713,002,409/90,270
  6. Step 6: Final answer
    x = 218,378.23

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.