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Finding the Third Proportional to 47,991 and 75,277.50

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Solution

The third proportional to 47,991 and 75,277.50 is: 118,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,991 : 75,277.50 = 75,277.50 : x
  2. Step 2: Convert to fraction form
    47,991/75,277.50 = 75,277.50/x
  3. Step 3: Cross multiply
    47,991x = 75,277.50 × 75,277.50
  4. Step 4: Simplify right side
    47,991x = 5,666,702,006.25
  5. Step 5: Solve for x
    x = 5,666,702,006.25/47,991
  6. Step 6: Final answer
    x = 118,078.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.