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Finding the Third Proportional to 39,153 and 83,845.50

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Solution

The third proportional to 39,153 and 83,845.50 is: 179,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,153 : 83,845.50 = 83,845.50 : x
  2. Step 2: Convert to fraction form
    39,153/83,845.50 = 83,845.50/x
  3. Step 3: Cross multiply
    39,153x = 83,845.50 × 83,845.50
  4. Step 4: Simplify right side
    39,153x = 7,030,067,870.25
  5. Step 5: Solve for x
    x = 7,030,067,870.25/39,153
  6. Step 6: Final answer
    x = 179,553.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.