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Finding the Third Proportional to 120,261 and 186,939

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Solution

The third proportional to 120,261 and 186,939 is: 290,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,261 : 186,939 = 186,939 : x
  2. Step 2: Convert to fraction form
    120,261/186,939 = 186,939/x
  3. Step 3: Cross multiply
    120,261x = 186,939 × 186,939
  4. Step 4: Simplify right side
    120,261x = 34,946,189,721
  5. Step 5: Solve for x
    x = 34,946,189,721/120,261
  6. Step 6: Final answer
    x = 290,586.22

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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.