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Finding the Third Proportional to 124,135 and 186,161

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Solution

The third proportional to 124,135 and 186,161 is: 279,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,135 : 186,161 = 186,161 : x
  2. Step 2: Convert to fraction form
    124,135/186,161 = 186,161/x
  3. Step 3: Cross multiply
    124,135x = 186,161 × 186,161
  4. Step 4: Simplify right side
    124,135x = 34,655,917,921
  5. Step 5: Solve for x
    x = 34,655,917,921/124,135
  6. Step 6: Final answer
    x = 279,179.26

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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.