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Finding the Third Proportional to 73,905.75 and 158,883.19

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Solution

The third proportional to 73,905.75 and 158,883.19 is: 341,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,905.75 : 158,883.19 = 158,883.19 : x
  2. Step 2: Convert to fraction form
    73,905.75/158,883.19 = 158,883.19/x
  3. Step 3: Cross multiply
    73,905.75x = 158,883.19 × 158,883.19
  4. Step 4: Simplify right side
    73,905.75x = 25,243,867,270.16
  5. Step 5: Solve for x
    x = 25,243,867,270.16/73,905.75
  6. Step 6: Final answer
    x = 341,568.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.