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Finding the Third Proportional to 69,014 and 97,675

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Solution

The third proportional to 69,014 and 97,675 is: 138,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,014 : 97,675 = 97,675 : x
  2. Step 2: Convert to fraction form
    69,014/97,675 = 97,675/x
  3. Step 3: Cross multiply
    69,014x = 97,675 × 97,675
  4. Step 4: Simplify right side
    69,014x = 9,540,405,625
  5. Step 5: Solve for x
    x = 9,540,405,625/69,014
  6. Step 6: Final answer
    x = 138,238.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.