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Finding the Third Proportional to 109,767 and 236,150

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Solution

The third proportional to 109,767 and 236,150 is: 508,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,767 : 236,150 = 236,150 : x
  2. Step 2: Convert to fraction form
    109,767/236,150 = 236,150/x
  3. Step 3: Cross multiply
    109,767x = 236,150 × 236,150
  4. Step 4: Simplify right side
    109,767x = 55,766,822,500
  5. Step 5: Solve for x
    x = 55,766,822,500/109,767
  6. Step 6: Final answer
    x = 508,047.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.