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Finding the Third Proportional to 124,631 and 271,818

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Solution

The third proportional to 124,631 and 271,818 is: 592,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,631 : 271,818 = 271,818 : x
  2. Step 2: Convert to fraction form
    124,631/271,818 = 271,818/x
  3. Step 3: Cross multiply
    124,631x = 271,818 × 271,818
  4. Step 4: Simplify right side
    124,631x = 73,885,025,124
  5. Step 5: Solve for x
    x = 73,885,025,124/124,631
  6. Step 6: Final answer
    x = 592,830.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.