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Finding the Third Proportional to 102.84 and 151.22

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Solution

The third proportional to 102.84 and 151.22 is: 222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 151.22 = 151.22 : x
  2. Step 2: Convert to fraction form
    102.84/151.22 = 151.22/x
  3. Step 3: Cross multiply
    102.84x = 151.22 × 151.22
  4. Step 4: Simplify right side
    102.84x = 22,867.11
  5. Step 5: Solve for x
    x = 22,867.11/102.84
  6. Step 6: Final answer
    x = 222.35

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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.