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Finding the Third Proportional to 100,257 and 149,895

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Solution

The third proportional to 100,257 and 149,895 is: 224,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,257 : 149,895 = 149,895 : x
  2. Step 2: Convert to fraction form
    100,257/149,895 = 149,895/x
  3. Step 3: Cross multiply
    100,257x = 149,895 × 149,895
  4. Step 4: Simplify right side
    100,257x = 22,468,511,025
  5. Step 5: Solve for x
    x = 22,468,511,025/100,257
  6. Step 6: Final answer
    x = 224,109.15

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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.