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Finding the Third Proportional to 124,500 and 270,111

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Solution

The third proportional to 124,500 and 270,111 is: 586,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,500 : 270,111 = 270,111 : x
  2. Step 2: Convert to fraction form
    124,500/270,111 = 270,111/x
  3. Step 3: Cross multiply
    124,500x = 270,111 × 270,111
  4. Step 4: Simplify right side
    124,500x = 72,959,952,321
  5. Step 5: Solve for x
    x = 72,959,952,321/124,500
  6. Step 6: Final answer
    x = 586,023.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.