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Finding the Third Proportional to 120,201 and 186,863

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Solution

The third proportional to 120,201 and 186,863 is: 290,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,201 : 186,863 = 186,863 : x
  2. Step 2: Convert to fraction form
    120,201/186,863 = 186,863/x
  3. Step 3: Cross multiply
    120,201x = 186,863 × 186,863
  4. Step 4: Simplify right side
    120,201x = 34,917,780,769
  5. Step 5: Solve for x
    x = 34,917,780,769/120,201
  6. Step 6: Final answer
    x = 290,494.93

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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.