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Finding the Third Proportional to 102,006 and 149,895

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Solution

The third proportional to 102,006 and 149,895 is: 220,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006 : 149,895 = 149,895 : x
  2. Step 2: Convert to fraction form
    102,006/149,895 = 149,895/x
  3. Step 3: Cross multiply
    102,006x = 149,895 × 149,895
  4. Step 4: Simplify right side
    102,006x = 22,468,511,025
  5. Step 5: Solve for x
    x = 22,468,511,025/102,006
  6. Step 6: Final answer
    x = 220,266.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.