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Finding the Third Proportional to 117 and 148.50

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Solution

The third proportional to 117 and 148.50 is: 188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 148.50 = 148.50 : x
  2. Step 2: Convert to fraction form
    117/148.50 = 148.50/x
  3. Step 3: Cross multiply
    117x = 148.50 × 148.50
  4. Step 4: Simplify right side
    117x = 22,052.25
  5. Step 5: Solve for x
    x = 22,052.25/117
  6. Step 6: Final answer
    x = 188.48

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.