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Finding the Third Proportional to 99,116.50 and 159,592.75

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Solution

The third proportional to 99,116.50 and 159,592.75 is: 256,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,116.50 : 159,592.75 = 159,592.75 : x
  2. Step 2: Convert to fraction form
    99,116.50/159,592.75 = 159,592.75/x
  3. Step 3: Cross multiply
    99,116.50x = 159,592.75 × 159,592.75
  4. Step 4: Simplify right side
    99,116.50x = 25,469,845,852.56
  5. Step 5: Solve for x
    x = 25,469,845,852.56/99,116.50
  6. Step 6: Final answer
    x = 256,968.78

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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.