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Finding the Third Proportional to 90,834 and 136,280

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Solution

The third proportional to 90,834 and 136,280 is: 204,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,834 : 136,280 = 136,280 : x
  2. Step 2: Convert to fraction form
    90,834/136,280 = 136,280/x
  3. Step 3: Cross multiply
    90,834x = 136,280 × 136,280
  4. Step 4: Simplify right side
    90,834x = 18,572,238,400
  5. Step 5: Solve for x
    x = 18,572,238,400/90,834
  6. Step 6: Final answer
    x = 204,463.51

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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.