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Finding the Third Proportional to 102.50 and 117.75

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Solution

The third proportional to 102.50 and 117.75 is: 135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 117.75 = 117.75 : x
  2. Step 2: Convert to fraction form
    102.50/117.75 = 117.75/x
  3. Step 3: Cross multiply
    102.50x = 117.75 × 117.75
  4. Step 4: Simplify right side
    102.50x = 13,865.06
  5. Step 5: Solve for x
    x = 13,865.06/102.50
  6. Step 6: Final answer
    x = 135.27

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.