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Finding the Third Proportional to 32,106 and 68,991

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Solution

The third proportional to 32,106 and 68,991 is: 148,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106 : 68,991 = 68,991 : x
  2. Step 2: Convert to fraction form
    32,106/68,991 = 68,991/x
  3. Step 3: Cross multiply
    32,106x = 68,991 × 68,991
  4. Step 4: Simplify right side
    32,106x = 4,759,758,081
  5. Step 5: Solve for x
    x = 4,759,758,081/32,106
  6. Step 6: Final answer
    x = 148,251.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.