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Finding the Third Proportional to 102 and 118.50

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Solution

The third proportional to 102 and 118.50 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 118.50 = 118.50 : x
  2. Step 2: Convert to fraction form
    102/118.50 = 118.50/x
  3. Step 3: Cross multiply
    102x = 118.50 × 118.50
  4. Step 4: Simplify right side
    102x = 14,042.25
  5. Step 5: Solve for x
    x = 14,042.25/102
  6. Step 6: Final answer
    x = 137.67

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.