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Finding the Third Proportional to 69,078.38 and 106,670.25

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Solution

The third proportional to 69,078.38 and 106,670.25 is: 164,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,078.38 : 106,670.25 = 106,670.25 : x
  2. Step 2: Convert to fraction form
    69,078.38/106,670.25 = 106,670.25/x
  3. Step 3: Cross multiply
    69,078.38x = 106,670.25 × 106,670.25
  4. Step 4: Simplify right side
    69,078.38x = 11,378,542,235.06
  5. Step 5: Solve for x
    x = 11,378,542,235.06/69,078.38
  6. Step 6: Final answer
    x = 164,719.31

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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.