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Finding the Third Proportional to 137.13 and 201.63

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Solution

The third proportional to 137.13 and 201.63 is: 296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.13 : 201.63 = 201.63 : x
  2. Step 2: Convert to fraction form
    137.13/201.63 = 201.63/x
  3. Step 3: Cross multiply
    137.13x = 201.63 × 201.63
  4. Step 4: Simplify right side
    137.13x = 40,652.64
  5. Step 5: Solve for x
    x = 40,652.64/137.13
  6. Step 6: Final answer
    x = 296.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.