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Finding the Third Proportional to 73,707.05 and 161,216.16

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Solution

The third proportional to 73,707.05 and 161,216.16 is: 352,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,707.05 : 161,216.16 = 161,216.16 : x
  2. Step 2: Convert to fraction form
    73,707.05/161,216.16 = 161,216.16/x
  3. Step 3: Cross multiply
    73,707.05x = 161,216.16 × 161,216.16
  4. Step 4: Simplify right side
    73,707.05x = 25,990,649,036.02
  5. Step 5: Solve for x
    x = 25,990,649,036.02/73,707.05
  6. Step 6: Final answer
    x = 352,620.95

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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.