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Finding the Third Proportional to 53,723.25 and 126,370.13

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Solution

The third proportional to 53,723.25 and 126,370.13 is: 297,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,723.25 : 126,370.13 = 126,370.13 : x
  2. Step 2: Convert to fraction form
    53,723.25/126,370.13 = 126,370.13/x
  3. Step 3: Cross multiply
    53,723.25x = 126,370.13 × 126,370.13
  4. Step 4: Simplify right side
    53,723.25x = 15,969,408,492.52
  5. Step 5: Solve for x
    x = 15,969,408,492.52/53,723.25
  6. Step 6: Final answer
    x = 297,253.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.