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Finding the Third Proportional to 127,626 and 190,191

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Solution

The third proportional to 127,626 and 190,191 is: 283,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,626 : 190,191 = 190,191 : x
  2. Step 2: Convert to fraction form
    127,626/190,191 = 190,191/x
  3. Step 3: Cross multiply
    127,626x = 190,191 × 190,191
  4. Step 4: Simplify right side
    127,626x = 36,172,616,481
  5. Step 5: Solve for x
    x = 36,172,616,481/127,626
  6. Step 6: Final answer
    x = 283,426.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.