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Finding the Third Proportional to 90,096 and 141,330

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Solution

The third proportional to 90,096 and 141,330 is: 221,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,096 : 141,330 = 141,330 : x
  2. Step 2: Convert to fraction form
    90,096/141,330 = 141,330/x
  3. Step 3: Cross multiply
    90,096x = 141,330 × 141,330
  4. Step 4: Simplify right side
    90,096x = 19,974,168,900
  5. Step 5: Solve for x
    x = 19,974,168,900/90,096
  6. Step 6: Final answer
    x = 221,698.73

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Why These Related Problems?

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