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Finding the Third Proportional to 96,058 and 151,979

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Solution

The third proportional to 96,058 and 151,979 is: 240,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,058 : 151,979 = 151,979 : x
  2. Step 2: Convert to fraction form
    96,058/151,979 = 151,979/x
  3. Step 3: Cross multiply
    96,058x = 151,979 × 151,979
  4. Step 4: Simplify right side
    96,058x = 23,097,616,441
  5. Step 5: Solve for x
    x = 23,097,616,441/96,058
  6. Step 6: Final answer
    x = 240,454.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.