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Finding the Third Proportional to 125.53 and 233.06

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Solution

The third proportional to 125.53 and 233.06 is: 432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.53 : 233.06 = 233.06 : x
  2. Step 2: Convert to fraction form
    125.53/233.06 = 233.06/x
  3. Step 3: Cross multiply
    125.53x = 233.06 × 233.06
  4. Step 4: Simplify right side
    125.53x = 54,318.13
  5. Step 5: Solve for x
    x = 54,318.13/125.53
  6. Step 6: Final answer
    x = 432.71

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.