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Finding the Third Proportional to 124,439 and 192,999

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Solution

The third proportional to 124,439 and 192,999 is: 299,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,439 : 192,999 = 192,999 : x
  2. Step 2: Convert to fraction form
    124,439/192,999 = 192,999/x
  3. Step 3: Cross multiply
    124,439x = 192,999 × 192,999
  4. Step 4: Simplify right side
    124,439x = 37,248,614,001
  5. Step 5: Solve for x
    x = 37,248,614,001/124,439
  6. Step 6: Final answer
    x = 299,332.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.