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Finding the Third Proportional to 125,162 and 277,972

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Solution

The third proportional to 125,162 and 277,972 is: 617,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,162 : 277,972 = 277,972 : x
  2. Step 2: Convert to fraction form
    125,162/277,972 = 277,972/x
  3. Step 3: Cross multiply
    125,162x = 277,972 × 277,972
  4. Step 4: Simplify right side
    125,162x = 77,268,432,784
  5. Step 5: Solve for x
    x = 77,268,432,784/125,162
  6. Step 6: Final answer
    x = 617,347.38

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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.