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Finding the Third Proportional to 101,690 and 153,849

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Solution

The third proportional to 101,690 and 153,849 is: 232,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,690 : 153,849 = 153,849 : x
  2. Step 2: Convert to fraction form
    101,690/153,849 = 153,849/x
  3. Step 3: Cross multiply
    101,690x = 153,849 × 153,849
  4. Step 4: Simplify right side
    101,690x = 23,669,514,801
  5. Step 5: Solve for x
    x = 23,669,514,801/101,690
  6. Step 6: Final answer
    x = 232,761.48

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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.