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Finding the Third Proportional to 124,008 and 271,992

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Solution

The third proportional to 124,008 and 271,992 is: 596,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,008 : 271,992 = 271,992 : x
  2. Step 2: Convert to fraction form
    124,008/271,992 = 271,992/x
  3. Step 3: Cross multiply
    124,008x = 271,992 × 271,992
  4. Step 4: Simplify right side
    124,008x = 73,979,648,064
  5. Step 5: Solve for x
    x = 73,979,648,064/124,008
  6. Step 6: Final answer
    x = 596,571.58

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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.