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Finding the Third Proportional to 124,192.50 and 268,067.25

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Solution

The third proportional to 124,192.50 and 268,067.25 is: 578,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,192.50 : 268,067.25 = 268,067.25 : x
  2. Step 2: Convert to fraction form
    124,192.50/268,067.25 = 268,067.25/x
  3. Step 3: Cross multiply
    124,192.50x = 268,067.25 × 268,067.25
  4. Step 4: Simplify right side
    124,192.50x = 71,860,050,522.56
  5. Step 5: Solve for x
    x = 71,860,050,522.56/124,192.50
  6. Step 6: Final answer
    x = 578,618.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.