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Finding the Third Proportional to 96,058 and 140,972

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Solution

The third proportional to 96,058 and 140,972 is: 206,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,058 : 140,972 = 140,972 : x
  2. Step 2: Convert to fraction form
    96,058/140,972 = 140,972/x
  3. Step 3: Cross multiply
    96,058x = 140,972 × 140,972
  4. Step 4: Simplify right side
    96,058x = 19,873,104,784
  5. Step 5: Solve for x
    x = 19,873,104,784/96,058
  6. Step 6: Final answer
    x = 206,886.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.