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Finding the Third Proportional to 69,266 and 149,602

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Solution

The third proportional to 69,266 and 149,602 is: 323,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,266 : 149,602 = 149,602 : x
  2. Step 2: Convert to fraction form
    69,266/149,602 = 149,602/x
  3. Step 3: Cross multiply
    69,266x = 149,602 × 149,602
  4. Step 4: Simplify right side
    69,266x = 22,380,758,404
  5. Step 5: Solve for x
    x = 22,380,758,404/69,266
  6. Step 6: Final answer
    x = 323,113.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.