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Finding the Third Proportional to 69,997.50 and 108,091.13

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Solution

The third proportional to 69,997.50 and 108,091.13 is: 166,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,997.50 : 108,091.13 = 108,091.13 : x
  2. Step 2: Convert to fraction form
    69,997.50/108,091.13 = 108,091.13/x
  3. Step 3: Cross multiply
    69,997.50x = 108,091.13 × 108,091.13
  4. Step 4: Simplify right side
    69,997.50x = 11,683,691,303.77
  5. Step 5: Solve for x
    x = 11,683,691,303.77/69,997.50
  6. Step 6: Final answer
    x = 166,915.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.