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Finding the Third Proportional to 137.81 and 212.06

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Solution

The third proportional to 137.81 and 212.06 is: 326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.81 : 212.06 = 212.06 : x
  2. Step 2: Convert to fraction form
    137.81/212.06 = 212.06/x
  3. Step 3: Cross multiply
    137.81x = 212.06 × 212.06
  4. Step 4: Simplify right side
    137.81x = 44,970.50
  5. Step 5: Solve for x
    x = 44,970.50/137.81
  6. Step 6: Final answer
    x = 326.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.