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Finding the Third Proportional to 69,027.75 and 148,929.75

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Solution

The third proportional to 69,027.75 and 148,929.75 is: 321,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,027.75 : 148,929.75 = 148,929.75 : x
  2. Step 2: Convert to fraction form
    69,027.75/148,929.75 = 148,929.75/x
  3. Step 3: Cross multiply
    69,027.75x = 148,929.75 × 148,929.75
  4. Step 4: Simplify right side
    69,027.75x = 22,180,070,435.06
  5. Step 5: Solve for x
    x = 22,180,070,435.06/69,027.75
  6. Step 6: Final answer
    x = 321,321.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.