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Finding the Third Proportional to 88.31 and 117.98

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Solution

The third proportional to 88.31 and 117.98 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.31 : 117.98 = 117.98 : x
  2. Step 2: Convert to fraction form
    88.31/117.98 = 117.98/x
  3. Step 3: Cross multiply
    88.31x = 117.98 × 117.98
  4. Step 4: Simplify right side
    88.31x = 13,920.31
  5. Step 5: Solve for x
    x = 13,920.31/88.31
  6. Step 6: Final answer
    x = 157.63

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.