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Finding the Third Proportional to 90,084 and 141,306

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Solution

The third proportional to 90,084 and 141,306 is: 221,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,084 : 141,306 = 141,306 : x
  2. Step 2: Convert to fraction form
    90,084/141,306 = 141,306/x
  3. Step 3: Cross multiply
    90,084x = 141,306 × 141,306
  4. Step 4: Simplify right side
    90,084x = 19,967,385,636
  5. Step 5: Solve for x
    x = 19,967,385,636/90,084
  6. Step 6: Final answer
    x = 221,652.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.