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Finding the Third Proportional to 125.30 and 272.32

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Solution

The third proportional to 125.30 and 272.32 is: 591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.30 : 272.32 = 272.32 : x
  2. Step 2: Convert to fraction form
    125.30/272.32 = 272.32/x
  3. Step 3: Cross multiply
    125.30x = 272.32 × 272.32
  4. Step 4: Simplify right side
    125.30x = 74,158.35
  5. Step 5: Solve for x
    x = 74,158.35/125.30
  6. Step 6: Final answer
    x = 591.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.