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Finding the Third Proportional to 124,944 and 199,837

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Solution

The third proportional to 124,944 and 199,837 is: 319,621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,944 : 199,837 = 199,837 : x
  2. Step 2: Convert to fraction form
    124,944/199,837 = 199,837/x
  3. Step 3: Cross multiply
    124,944x = 199,837 × 199,837
  4. Step 4: Simplify right side
    124,944x = 39,934,826,569
  5. Step 5: Solve for x
    x = 39,934,826,569/124,944
  6. Step 6: Final answer
    x = 319,621.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.