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Finding the Third Proportional to 119,883 and 186,264

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Solution

The third proportional to 119,883 and 186,264 is: 289,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,883 : 186,264 = 186,264 : x
  2. Step 2: Convert to fraction form
    119,883/186,264 = 186,264/x
  3. Step 3: Cross multiply
    119,883x = 186,264 × 186,264
  4. Step 4: Simplify right side
    119,883x = 34,694,277,696
  5. Step 5: Solve for x
    x = 34,694,277,696/119,883
  6. Step 6: Final answer
    x = 289,401.15

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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.