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Finding the Third Proportional to 102.94 and 151.03

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Solution

The third proportional to 102.94 and 151.03 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 151.03 = 151.03 : x
  2. Step 2: Convert to fraction form
    102.94/151.03 = 151.03/x
  3. Step 3: Cross multiply
    102.94x = 151.03 × 151.03
  4. Step 4: Simplify right side
    102.94x = 22,810.44
  5. Step 5: Solve for x
    x = 22,810.44/102.94
  6. Step 6: Final answer
    x = 221.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.