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Finding the Third Proportional to 100,560.75 and 160,068

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Solution

The third proportional to 100,560.75 and 160,068 is: 254,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,560.75 : 160,068 = 160,068 : x
  2. Step 2: Convert to fraction form
    100,560.75/160,068 = 160,068/x
  3. Step 3: Cross multiply
    100,560.75x = 160,068 × 160,068
  4. Step 4: Simplify right side
    100,560.75x = 25,621,764,624
  5. Step 5: Solve for x
    x = 25,621,764,624/100,560.75
  6. Step 6: Final answer
    x = 254,788.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.