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Finding the Third Proportional to 73,005.19 and 151,821.56

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Solution

The third proportional to 73,005.19 and 151,821.56 is: 315,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,005.19 : 151,821.56 = 151,821.56 : x
  2. Step 2: Convert to fraction form
    73,005.19/151,821.56 = 151,821.56/x
  3. Step 3: Cross multiply
    73,005.19x = 151,821.56 × 151,821.56
  4. Step 4: Simplify right side
    73,005.19x = 23,049,786,839.94
  5. Step 5: Solve for x
    x = 23,049,786,839.94/73,005.19
  6. Step 6: Final answer
    x = 315,728.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.