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Finding the Third Proportional to 149,863 and 164,807

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Solution

The third proportional to 149,863 and 164,807 is: 181,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863 : 164,807 = 164,807 : x
  2. Step 2: Convert to fraction form
    149,863/164,807 = 164,807/x
  3. Step 3: Cross multiply
    149,863x = 164,807 × 164,807
  4. Step 4: Simplify right side
    149,863x = 27,161,347,249
  5. Step 5: Solve for x
    x = 27,161,347,249/149,863
  6. Step 6: Final answer
    x = 181,241.18

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.