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Finding the Third Proportional to 69,209.25 and 106,880.63

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Solution

The third proportional to 69,209.25 and 106,880.63 is: 165,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,209.25 : 106,880.63 = 106,880.63 : x
  2. Step 2: Convert to fraction form
    69,209.25/106,880.63 = 106,880.63/x
  3. Step 3: Cross multiply
    69,209.25x = 106,880.63 × 106,880.63
  4. Step 4: Simplify right side
    69,209.25x = 11,423,468,000.39
  5. Step 5: Solve for x
    x = 11,423,468,000.39/69,209.25
  6. Step 6: Final answer
    x = 165,056.95

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