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Finding the Third Proportional to 95,368 and 150,979

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Solution

The third proportional to 95,368 and 150,979 is: 239,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,368 : 150,979 = 150,979 : x
  2. Step 2: Convert to fraction form
    95,368/150,979 = 150,979/x
  3. Step 3: Cross multiply
    95,368x = 150,979 × 150,979
  4. Step 4: Simplify right side
    95,368x = 22,794,658,441
  5. Step 5: Solve for x
    x = 22,794,658,441/95,368
  6. Step 6: Final answer
    x = 239,017.89

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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.