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Finding the Third Proportional to 73,023.75 and 159,564.38

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Solution

The third proportional to 73,023.75 and 159,564.38 is: 348,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,023.75 : 159,564.38 = 159,564.38 : x
  2. Step 2: Convert to fraction form
    73,023.75/159,564.38 = 159,564.38/x
  3. Step 3: Cross multiply
    73,023.75x = 159,564.38 × 159,564.38
  4. Step 4: Simplify right side
    73,023.75x = 25,460,789,769.14
  5. Step 5: Solve for x
    x = 25,460,789,769.14/73,023.75
  6. Step 6: Final answer
    x = 348,664.51

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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.