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Finding the Third Proportional to 90,670 and 136,084

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Solution

The third proportional to 90,670 and 136,084 is: 204,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,670 : 136,084 = 136,084 : x
  2. Step 2: Convert to fraction form
    90,670/136,084 = 136,084/x
  3. Step 3: Cross multiply
    90,670x = 136,084 × 136,084
  4. Step 4: Simplify right side
    90,670x = 18,518,855,056
  5. Step 5: Solve for x
    x = 18,518,855,056/90,670
  6. Step 6: Final answer
    x = 204,244.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.