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Finding the Third Proportional to 65,780.44 and 144,080.44

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Solution

The third proportional to 65,780.44 and 144,080.44 is: 315,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,780.44 : 144,080.44 = 144,080.44 : x
  2. Step 2: Convert to fraction form
    65,780.44/144,080.44 = 144,080.44/x
  3. Step 3: Cross multiply
    65,780.44x = 144,080.44 × 144,080.44
  4. Step 4: Simplify right side
    65,780.44x = 20,759,172,470.19
  5. Step 5: Solve for x
    x = 20,759,172,470.19/65,780.44
  6. Step 6: Final answer
    x = 315,582.77

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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.