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Finding the Third Proportional to 68.23 and 147.06

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Solution

The third proportional to 68.23 and 147.06 is: 316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.23 : 147.06 = 147.06 : x
  2. Step 2: Convert to fraction form
    68.23/147.06 = 147.06/x
  3. Step 3: Cross multiply
    68.23x = 147.06 × 147.06
  4. Step 4: Simplify right side
    68.23x = 21,627.38
  5. Step 5: Solve for x
    x = 21,627.38/68.23
  6. Step 6: Final answer
    x = 316.96

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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.