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Finding the Third Proportional to 100,834.50 and 127,431

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Solution

The third proportional to 100,834.50 and 127,431 is: 161,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,834.50 : 127,431 = 127,431 : x
  2. Step 2: Convert to fraction form
    100,834.50/127,431 = 127,431/x
  3. Step 3: Cross multiply
    100,834.50x = 127,431 × 127,431
  4. Step 4: Simplify right side
    100,834.50x = 16,238,659,761
  5. Step 5: Solve for x
    x = 16,238,659,761/100,834.50
  6. Step 6: Final answer
    x = 161,042.70

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.