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Finding the Third Proportional to 125,133 and 269,949

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Solution

The third proportional to 125,133 and 269,949 is: 582,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,133 : 269,949 = 269,949 : x
  2. Step 2: Convert to fraction form
    125,133/269,949 = 269,949/x
  3. Step 3: Cross multiply
    125,133x = 269,949 × 269,949
  4. Step 4: Simplify right side
    125,133x = 72,872,462,601
  5. Step 5: Solve for x
    x = 72,872,462,601/125,133
  6. Step 6: Final answer
    x = 582,360.07

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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.