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Finding the Third Proportional to 68.75 and 101.31

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Solution

The third proportional to 68.75 and 101.31 is: 149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.75 : 101.31 = 101.31 : x
  2. Step 2: Convert to fraction form
    68.75/101.31 = 101.31/x
  3. Step 3: Cross multiply
    68.75x = 101.31 × 101.31
  4. Step 4: Simplify right side
    68.75x = 10,264.22
  5. Step 5: Solve for x
    x = 10,264.22/68.75
  6. Step 6: Final answer
    x = 149.30

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