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Finding the Third Proportional to 149,862 and 164,806

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Solution

The third proportional to 149,862 and 164,806 is: 181,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,862 : 164,806 = 164,806 : x
  2. Step 2: Convert to fraction form
    149,862/164,806 = 164,806/x
  3. Step 3: Cross multiply
    149,862x = 164,806 × 164,806
  4. Step 4: Simplify right side
    149,862x = 27,161,017,636
  5. Step 5: Solve for x
    x = 27,161,017,636/149,862
  6. Step 6: Final answer
    x = 181,240.19

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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.