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Finding the Third Proportional to 42,772.50 and 65,400.75

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Solution

The third proportional to 42,772.50 and 65,400.75 is: 100,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,772.50 : 65,400.75 = 65,400.75 : x
  2. Step 2: Convert to fraction form
    42,772.50/65,400.75 = 65,400.75/x
  3. Step 3: Cross multiply
    42,772.50x = 65,400.75 × 65,400.75
  4. Step 4: Simplify right side
    42,772.50x = 4,277,258,100.56
  5. Step 5: Solve for x
    x = 4,277,258,100.56/42,772.50
  6. Step 6: Final answer
    x = 100,000.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.