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Finding the Third Proportional to 65,645.44 and 144,053.44

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Solution

The third proportional to 65,645.44 and 144,053.44 is: 316,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,645.44 : 144,053.44 = 144,053.44 : x
  2. Step 2: Convert to fraction form
    65,645.44/144,053.44 = 144,053.44/x
  3. Step 3: Cross multiply
    65,645.44x = 144,053.44 × 144,053.44
  4. Step 4: Simplify right side
    65,645.44x = 20,751,392,855.57
  5. Step 5: Solve for x
    x = 20,751,392,855.57/65,645.44
  6. Step 6: Final answer
    x = 316,113.25

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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.