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Finding the Third Proportional to 69,146.25 and 106,789.88

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Solution

The third proportional to 69,146.25 and 106,789.88 is: 164,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,146.25 : 106,789.88 = 106,789.88 : x
  2. Step 2: Convert to fraction form
    69,146.25/106,789.88 = 106,789.88/x
  3. Step 3: Cross multiply
    69,146.25x = 106,789.88 × 106,789.88
  4. Step 4: Simplify right side
    69,146.25x = 11,404,077,402.52
  5. Step 5: Solve for x
    x = 11,404,077,402.52/69,146.25
  6. Step 6: Final answer
    x = 164,926.91

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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.