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Finding the Third Proportional to 123,867 and 271,362

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Solution

The third proportional to 123,867 and 271,362 is: 594,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,867 : 271,362 = 271,362 : x
  2. Step 2: Convert to fraction form
    123,867/271,362 = 271,362/x
  3. Step 3: Cross multiply
    123,867x = 271,362 × 271,362
  4. Step 4: Simplify right side
    123,867x = 73,637,335,044
  5. Step 5: Solve for x
    x = 73,637,335,044/123,867
  6. Step 6: Final answer
    x = 594,487.11

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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.