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Finding the Third Proportional to 125,362 and 261,092

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Solution

The third proportional to 125,362 and 261,092 is: 543,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,362 : 261,092 = 261,092 : x
  2. Step 2: Convert to fraction form
    125,362/261,092 = 261,092/x
  3. Step 3: Cross multiply
    125,362x = 261,092 × 261,092
  4. Step 4: Simplify right side
    125,362x = 68,169,032,464
  5. Step 5: Solve for x
    x = 68,169,032,464/125,362
  6. Step 6: Final answer
    x = 543,777.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.