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Finding the Third Proportional to 125.59 and 193.20

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Solution

The third proportional to 125.59 and 193.20 is: 297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.59 : 193.20 = 193.20 : x
  2. Step 2: Convert to fraction form
    125.59/193.20 = 193.20/x
  3. Step 3: Cross multiply
    125.59x = 193.20 × 193.20
  4. Step 4: Simplify right side
    125.59x = 37,324.57
  5. Step 5: Solve for x
    x = 37,324.57/125.59
  6. Step 6: Final answer
    x = 297.19

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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.