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Finding the Third Proportional to 32,205.94 and 69,773.06

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Solution

The third proportional to 32,205.94 and 69,773.06 is: 151,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.94 : 69,773.06 = 69,773.06 : x
  2. Step 2: Convert to fraction form
    32,205.94/69,773.06 = 69,773.06/x
  3. Step 3: Cross multiply
    32,205.94x = 69,773.06 × 69,773.06
  4. Step 4: Simplify right side
    32,205.94x = 4,868,280,250.63
  5. Step 5: Solve for x
    x = 4,868,280,250.63/32,205.94
  6. Step 6: Final answer
    x = 151,160.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.