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Finding the Third Proportional to 124,964 and 269,884

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Solution

The third proportional to 124,964 and 269,884 is: 582,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,964 : 269,884 = 269,884 : x
  2. Step 2: Convert to fraction form
    124,964/269,884 = 269,884/x
  3. Step 3: Cross multiply
    124,964x = 269,884 × 269,884
  4. Step 4: Simplify right side
    124,964x = 72,837,373,456
  5. Step 5: Solve for x
    x = 72,837,373,456/124,964
  6. Step 6: Final answer
    x = 582,866.85

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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.