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Finding the Third Proportional to 126,074.25 and 269,987.25

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Solution

The third proportional to 126,074.25 and 269,987.25 is: 578,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,074.25 : 269,987.25 = 269,987.25 : x
  2. Step 2: Convert to fraction form
    126,074.25/269,987.25 = 269,987.25/x
  3. Step 3: Cross multiply
    126,074.25x = 269,987.25 × 269,987.25
  4. Step 4: Simplify right side
    126,074.25x = 72,893,115,162.56
  5. Step 5: Solve for x
    x = 72,893,115,162.56/126,074.25
  6. Step 6: Final answer
    x = 578,176.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.