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Finding the Third Proportional to 47,992.50 and 75,390.75

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Solution

The third proportional to 47,992.50 and 75,390.75 is: 118,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,992.50 : 75,390.75 = 75,390.75 : x
  2. Step 2: Convert to fraction form
    47,992.50/75,390.75 = 75,390.75/x
  3. Step 3: Cross multiply
    47,992.50x = 75,390.75 × 75,390.75
  4. Step 4: Simplify right side
    47,992.50x = 5,683,765,185.56
  5. Step 5: Solve for x
    x = 5,683,765,185.56/47,992.50
  6. Step 6: Final answer
    x = 118,430.28

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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.