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Finding the Third Proportional to 69,082.13 and 109,852.50

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Solution

The third proportional to 69,082.13 and 109,852.50 is: 174,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,082.13 : 109,852.50 = 109,852.50 : x
  2. Step 2: Convert to fraction form
    69,082.13/109,852.50 = 109,852.50/x
  3. Step 3: Cross multiply
    69,082.13x = 109,852.50 × 109,852.50
  4. Step 4: Simplify right side
    69,082.13x = 12,067,571,756.25
  5. Step 5: Solve for x
    x = 12,067,571,756.25/69,082.13
  6. Step 6: Final answer
    x = 174,684.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.