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Finding the Third Proportional to 138,492 and 207,900

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Solution

The third proportional to 138,492 and 207,900 is: 312,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,492 : 207,900 = 207,900 : x
  2. Step 2: Convert to fraction form
    138,492/207,900 = 207,900/x
  3. Step 3: Cross multiply
    138,492x = 207,900 × 207,900
  4. Step 4: Simplify right side
    138,492x = 43,222,410,000
  5. Step 5: Solve for x
    x = 43,222,410,000/138,492
  6. Step 6: Final answer
    x = 312,093.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.