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Finding the Third Proportional to 127,153 and 192,366

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Solution

The third proportional to 127,153 and 192,366 is: 291,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,153 : 192,366 = 192,366 : x
  2. Step 2: Convert to fraction form
    127,153/192,366 = 192,366/x
  3. Step 3: Cross multiply
    127,153x = 192,366 × 192,366
  4. Step 4: Simplify right side
    127,153x = 37,004,677,956
  5. Step 5: Solve for x
    x = 37,004,677,956/127,153
  6. Step 6: Final answer
    x = 291,024.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.