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Finding the Third Proportional to 48,381.19 and 73,300.78

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Solution

The third proportional to 48,381.19 and 73,300.78 is: 111,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,381.19 : 73,300.78 = 73,300.78 : x
  2. Step 2: Convert to fraction form
    48,381.19/73,300.78 = 73,300.78/x
  3. Step 3: Cross multiply
    48,381.19x = 73,300.78 × 73,300.78
  4. Step 4: Simplify right side
    48,381.19x = 5,373,004,531.86
  5. Step 5: Solve for x
    x = 5,373,004,531.86/48,381.19
  6. Step 6: Final answer
    x = 111,055.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.