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Finding the Third Proportional to 45,758.25 and 83,922.75

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Solution

The third proportional to 45,758.25 and 83,922.75 is: 153,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,758.25 : 83,922.75 = 83,922.75 : x
  2. Step 2: Convert to fraction form
    45,758.25/83,922.75 = 83,922.75/x
  3. Step 3: Cross multiply
    45,758.25x = 83,922.75 × 83,922.75
  4. Step 4: Simplify right side
    45,758.25x = 7,043,027,967.56
  5. Step 5: Solve for x
    x = 7,043,027,967.56/45,758.25
  6. Step 6: Final answer
    x = 153,918.21

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.