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Finding the Third Proportional to 71,985 and 107,991

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Solution

The third proportional to 71,985 and 107,991 is: 162,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,985 : 107,991 = 107,991 : x
  2. Step 2: Convert to fraction form
    71,985/107,991 = 107,991/x
  3. Step 3: Cross multiply
    71,985x = 107,991 × 107,991
  4. Step 4: Simplify right side
    71,985x = 11,662,056,081
  5. Step 5: Solve for x
    x = 11,662,056,081/71,985
  6. Step 6: Final answer
    x = 162,006.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.