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Finding the Third Proportional to 97 and 156.25

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Solution

The third proportional to 97 and 156.25 is: 251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 156.25 = 156.25 : x
  2. Step 2: Convert to fraction form
    97/156.25 = 156.25/x
  3. Step 3: Cross multiply
    97x = 156.25 × 156.25
  4. Step 4: Simplify right side
    97x = 24,414.06
  5. Step 5: Solve for x
    x = 24,414.06/97
  6. Step 6: Final answer
    x = 251.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.