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Finding the Third Proportional to 97.53 and 130.28

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Solution

The third proportional to 97.53 and 130.28 is: 174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.53 : 130.28 = 130.28 : x
  2. Step 2: Convert to fraction form
    97.53/130.28 = 130.28/x
  3. Step 3: Cross multiply
    97.53x = 130.28 × 130.28
  4. Step 4: Simplify right side
    97.53x = 16,972.95
  5. Step 5: Solve for x
    x = 16,972.95/97.53
  6. Step 6: Final answer
    x = 174.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.