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Finding the Third Proportional to 125,991 and 195,087

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Solution

The third proportional to 125,991 and 195,087 is: 302,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,991 : 195,087 = 195,087 : x
  2. Step 2: Convert to fraction form
    125,991/195,087 = 195,087/x
  3. Step 3: Cross multiply
    125,991x = 195,087 × 195,087
  4. Step 4: Simplify right side
    125,991x = 38,058,937,569
  5. Step 5: Solve for x
    x = 38,058,937,569/125,991
  6. Step 6: Final answer
    x = 302,076.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.