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Finding the Third Proportional to 88,902 and 192,627

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Solution

The third proportional to 88,902 and 192,627 is: 417,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,902 : 192,627 = 192,627 : x
  2. Step 2: Convert to fraction form
    88,902/192,627 = 192,627/x
  3. Step 3: Cross multiply
    88,902x = 192,627 × 192,627
  4. Step 4: Simplify right side
    88,902x = 37,105,161,129
  5. Step 5: Solve for x
    x = 37,105,161,129/88,902
  6. Step 6: Final answer
    x = 417,371.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.