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Finding the Third Proportional to 73.49 and 158.57

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Solution

The third proportional to 73.49 and 158.57 is: 342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.49 : 158.57 = 158.57 : x
  2. Step 2: Convert to fraction form
    73.49/158.57 = 158.57/x
  3. Step 3: Cross multiply
    73.49x = 158.57 × 158.57
  4. Step 4: Simplify right side
    73.49x = 25,145.16
  5. Step 5: Solve for x
    x = 25,145.16/73.49
  6. Step 6: Final answer
    x = 342.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.