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Finding the Third Proportional to 120,202 and 186,856

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Solution

The third proportional to 120,202 and 186,856 is: 290,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,202 : 186,856 = 186,856 : x
  2. Step 2: Convert to fraction form
    120,202/186,856 = 186,856/x
  3. Step 3: Cross multiply
    120,202x = 186,856 × 186,856
  4. Step 4: Simplify right side
    120,202x = 34,915,164,736
  5. Step 5: Solve for x
    x = 34,915,164,736/120,202
  6. Step 6: Final answer
    x = 290,470.75

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