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Finding the Third Proportional to 69,924 and 106,962

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Solution

The third proportional to 69,924 and 106,962 is: 163,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,924 : 106,962 = 106,962 : x
  2. Step 2: Convert to fraction form
    69,924/106,962 = 106,962/x
  3. Step 3: Cross multiply
    69,924x = 106,962 × 106,962
  4. Step 4: Simplify right side
    69,924x = 11,440,869,444
  5. Step 5: Solve for x
    x = 11,440,869,444/69,924
  6. Step 6: Final answer
    x = 163,618.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.