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Finding the Third Proportional to 114,221 and 168,019

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Solution

The third proportional to 114,221 and 168,019 is: 247,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,221 : 168,019 = 168,019 : x
  2. Step 2: Convert to fraction form
    114,221/168,019 = 168,019/x
  3. Step 3: Cross multiply
    114,221x = 168,019 × 168,019
  4. Step 4: Simplify right side
    114,221x = 28,230,384,361
  5. Step 5: Solve for x
    x = 28,230,384,361/114,221
  6. Step 6: Final answer
    x = 247,155.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.