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Finding the Third Proportional to 101,702 and 153,867

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Solution

The third proportional to 101,702 and 153,867 is: 232,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,702 : 153,867 = 153,867 : x
  2. Step 2: Convert to fraction form
    101,702/153,867 = 153,867/x
  3. Step 3: Cross multiply
    101,702x = 153,867 × 153,867
  4. Step 4: Simplify right side
    101,702x = 23,675,053,689
  5. Step 5: Solve for x
    x = 23,675,053,689/101,702
  6. Step 6: Final answer
    x = 232,788.48

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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.