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Finding the Third Proportional to 97.06 and 151.50

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Solution

The third proportional to 97.06 and 151.50 is: 236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.06 : 151.50 = 151.50 : x
  2. Step 2: Convert to fraction form
    97.06/151.50 = 151.50/x
  3. Step 3: Cross multiply
    97.06x = 151.50 × 151.50
  4. Step 4: Simplify right side
    97.06x = 22,952.25
  5. Step 5: Solve for x
    x = 22,952.25/97.06
  6. Step 6: Final answer
    x = 236.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.