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Finding the Third Proportional to 125.48 and 275.34

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Solution

The third proportional to 125.48 and 275.34 is: 604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.48 : 275.34 = 275.34 : x
  2. Step 2: Convert to fraction form
    125.48/275.34 = 275.34/x
  3. Step 3: Cross multiply
    125.48x = 275.34 × 275.34
  4. Step 4: Simplify right side
    125.48x = 75,814.18
  5. Step 5: Solve for x
    x = 75,814.18/125.48
  6. Step 6: Final answer
    x = 604.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.