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Finding the Third Proportional to 73,147.22 and 159,689.81

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Solution

The third proportional to 73,147.22 and 159,689.81 is: 348,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147.22 : 159,689.81 = 159,689.81 : x
  2. Step 2: Convert to fraction form
    73,147.22/159,689.81 = 159,689.81/x
  3. Step 3: Cross multiply
    73,147.22x = 159,689.81 × 159,689.81
  4. Step 4: Simplify right side
    73,147.22x = 25,500,836,216.29
  5. Step 5: Solve for x
    x = 25,500,836,216.29/73,147.22
  6. Step 6: Final answer
    x = 348,623.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.