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Finding the Third Proportional to 96,058 and 154,338

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Solution

The third proportional to 96,058 and 154,338 is: 247,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,058 : 154,338 = 154,338 : x
  2. Step 2: Convert to fraction form
    96,058/154,338 = 154,338/x
  3. Step 3: Cross multiply
    96,058x = 154,338 × 154,338
  4. Step 4: Simplify right side
    96,058x = 23,820,218,244
  5. Step 5: Solve for x
    x = 23,820,218,244/96,058
  6. Step 6: Final answer
    x = 247,977.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.