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Finding the Third Proportional to 102.94 and 117.94

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Solution

The third proportional to 102.94 and 117.94 is: 135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 117.94 = 117.94 : x
  2. Step 2: Convert to fraction form
    102.94/117.94 = 117.94/x
  3. Step 3: Cross multiply
    102.94x = 117.94 × 117.94
  4. Step 4: Simplify right side
    102.94x = 13,909.25
  5. Step 5: Solve for x
    x = 13,909.25/102.94
  6. Step 6: Final answer
    x = 135.12

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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.