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Finding the Third Proportional to 125,895 and 279,762

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Solution

The third proportional to 125,895 and 279,762 is: 621,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,895 : 279,762 = 279,762 : x
  2. Step 2: Convert to fraction form
    125,895/279,762 = 279,762/x
  3. Step 3: Cross multiply
    125,895x = 279,762 × 279,762
  4. Step 4: Simplify right side
    125,895x = 78,266,776,644
  5. Step 5: Solve for x
    x = 78,266,776,644/125,895
  6. Step 6: Final answer
    x = 621,682.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.