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Finding the Third Proportional to 124,181 and 268,206

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Solution

The third proportional to 124,181 and 268,206 is: 579,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,181 : 268,206 = 268,206 : x
  2. Step 2: Convert to fraction form
    124,181/268,206 = 268,206/x
  3. Step 3: Cross multiply
    124,181x = 268,206 × 268,206
  4. Step 4: Simplify right side
    124,181x = 71,934,458,436
  5. Step 5: Solve for x
    x = 71,934,458,436/124,181
  6. Step 6: Final answer
    x = 579,271.05

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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.