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Finding the Third Proportional to 73,313.72 and 160,639.88

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Solution

The third proportional to 73,313.72 and 160,639.88 is: 351,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,313.72 : 160,639.88 = 160,639.88 : x
  2. Step 2: Convert to fraction form
    73,313.72/160,639.88 = 160,639.88/x
  3. Step 3: Cross multiply
    73,313.72x = 160,639.88 × 160,639.88
  4. Step 4: Simplify right side
    73,313.72x = 25,805,169,440.02
  5. Step 5: Solve for x
    x = 25,805,169,440.02/73,313.72
  6. Step 6: Final answer
    x = 351,982.82

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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.