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Finding the Third Proportional to 73,205 and 159,795

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Solution

The third proportional to 73,205 and 159,795 is: 348,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205 : 159,795 = 159,795 : x
  2. Step 2: Convert to fraction form
    73,205/159,795 = 159,795/x
  3. Step 3: Cross multiply
    73,205x = 159,795 × 159,795
  4. Step 4: Simplify right side
    73,205x = 25,534,442,025
  5. Step 5: Solve for x
    x = 25,534,442,025/73,205
  6. Step 6: Final answer
    x = 348,807.35

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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.