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Finding the Third Proportional to 124,444 and 168,234

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Solution

The third proportional to 124,444 and 168,234 is: 227,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,444 : 168,234 = 168,234 : x
  2. Step 2: Convert to fraction form
    124,444/168,234 = 168,234/x
  3. Step 3: Cross multiply
    124,444x = 168,234 × 168,234
  4. Step 4: Simplify right side
    124,444x = 28,302,678,756
  5. Step 5: Solve for x
    x = 28,302,678,756/124,444
  6. Step 6: Final answer
    x = 227,433.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.