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Finding the Third Proportional to 69,100 and 149,862

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Solution

The third proportional to 69,100 and 149,862 is: 325,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,100 : 149,862 = 149,862 : x
  2. Step 2: Convert to fraction form
    69,100/149,862 = 149,862/x
  3. Step 3: Cross multiply
    69,100x = 149,862 × 149,862
  4. Step 4: Simplify right side
    69,100x = 22,458,619,044
  5. Step 5: Solve for x
    x = 22,458,619,044/69,100
  6. Step 6: Final answer
    x = 325,016.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.