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Finding the Third Proportional to 32,116.92 and 69,155.02

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Solution

The third proportional to 32,116.92 and 69,155.02 is: 148,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.92 : 69,155.02 = 69,155.02 : x
  2. Step 2: Convert to fraction form
    32,116.92/69,155.02 = 69,155.02/x
  3. Step 3: Cross multiply
    32,116.92x = 69,155.02 × 69,155.02
  4. Step 4: Simplify right side
    32,116.92x = 4,782,416,186.09
  5. Step 5: Solve for x
    x = 4,782,416,186.09/32,116.92
  6. Step 6: Final answer
    x = 148,906.43

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