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Finding the Third Proportional to 73 and 113.50

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Solution

The third proportional to 73 and 113.50 is: 176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73 : 113.50 = 113.50 : x
  2. Step 2: Convert to fraction form
    73/113.50 = 113.50/x
  3. Step 3: Cross multiply
    73x = 113.50 × 113.50
  4. Step 4: Simplify right side
    73x = 12,882.25
  5. Step 5: Solve for x
    x = 12,882.25/73
  6. Step 6: Final answer
    x = 176.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.