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Finding the Third Proportional to 124,688 and 269,059

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Solution

The third proportional to 124,688 and 269,059 is: 580,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,688 : 269,059 = 269,059 : x
  2. Step 2: Convert to fraction form
    124,688/269,059 = 269,059/x
  3. Step 3: Cross multiply
    124,688x = 269,059 × 269,059
  4. Step 4: Simplify right side
    124,688x = 72,392,745,481
  5. Step 5: Solve for x
    x = 72,392,745,481/124,688
  6. Step 6: Final answer
    x = 580,591.12

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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.