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Finding the Third Proportional to 124,369.50 and 272,067

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Solution

The third proportional to 124,369.50 and 272,067 is: 595,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,369.50 : 272,067 = 272,067 : x
  2. Step 2: Convert to fraction form
    124,369.50/272,067 = 272,067/x
  3. Step 3: Cross multiply
    124,369.50x = 272,067 × 272,067
  4. Step 4: Simplify right side
    124,369.50x = 74,020,452,489
  5. Step 5: Solve for x
    x = 74,020,452,489/124,369.50
  6. Step 6: Final answer
    x = 595,165.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.