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Finding the Third Proportional to 73,947.75 and 161,889.75

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Solution

The third proportional to 73,947.75 and 161,889.75 is: 354,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,947.75 : 161,889.75 = 161,889.75 : x
  2. Step 2: Convert to fraction form
    73,947.75/161,889.75 = 161,889.75/x
  3. Step 3: Cross multiply
    73,947.75x = 161,889.75 × 161,889.75
  4. Step 4: Simplify right side
    73,947.75x = 26,208,291,155.06
  5. Step 5: Solve for x
    x = 26,208,291,155.06/73,947.75
  6. Step 6: Final answer
    x = 354,416.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.