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Finding the Third Proportional to 65,657.25 and 144,024.75

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Solution

The third proportional to 65,657.25 and 144,024.75 is: 315,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,657.25 : 144,024.75 = 144,024.75 : x
  2. Step 2: Convert to fraction form
    65,657.25/144,024.75 = 144,024.75/x
  3. Step 3: Cross multiply
    65,657.25x = 144,024.75 × 144,024.75
  4. Step 4: Simplify right side
    65,657.25x = 20,743,128,612.56
  5. Step 5: Solve for x
    x = 20,743,128,612.56/65,657.25
  6. Step 6: Final answer
    x = 315,930.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.