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Finding the Third Proportional to 96,816 and 155,972

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Solution

The third proportional to 96,816 and 155,972 is: 251,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,816 : 155,972 = 155,972 : x
  2. Step 2: Convert to fraction form
    96,816/155,972 = 155,972/x
  3. Step 3: Cross multiply
    96,816x = 155,972 × 155,972
  4. Step 4: Simplify right side
    96,816x = 24,327,264,784
  5. Step 5: Solve for x
    x = 24,327,264,784/96,816
  6. Step 6: Final answer
    x = 251,273.19

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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.