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Finding the Third Proportional to 125,006 and 269,968

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Solution

The third proportional to 125,006 and 269,968 is: 583,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,006 : 269,968 = 269,968 : x
  2. Step 2: Convert to fraction form
    125,006/269,968 = 269,968/x
  3. Step 3: Cross multiply
    125,006x = 269,968 × 269,968
  4. Step 4: Simplify right side
    125,006x = 72,882,721,024
  5. Step 5: Solve for x
    x = 72,882,721,024/125,006
  6. Step 6: Final answer
    x = 583,033.78

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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.