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Finding the Third Proportional to 80,210.25 and 173,259

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Solution

The third proportional to 80,210.25 and 173,259 is: 374,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,210.25 : 173,259 = 173,259 : x
  2. Step 2: Convert to fraction form
    80,210.25/173,259 = 173,259/x
  3. Step 3: Cross multiply
    80,210.25x = 173,259 × 173,259
  4. Step 4: Simplify right side
    80,210.25x = 30,018,681,081
  5. Step 5: Solve for x
    x = 30,018,681,081/80,210.25
  6. Step 6: Final answer
    x = 374,249.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.