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Finding the Third Proportional to 125.53 and 193.03

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Solution

The third proportional to 125.53 and 193.03 is: 296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.53 : 193.03 = 193.03 : x
  2. Step 2: Convert to fraction form
    125.53/193.03 = 193.03/x
  3. Step 3: Cross multiply
    125.53x = 193.03 × 193.03
  4. Step 4: Simplify right side
    125.53x = 37,261.06
  5. Step 5: Solve for x
    x = 37,261.06/125.53
  6. Step 6: Final answer
    x = 296.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.