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Finding the Third Proportional to 55,750 and 119,132

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Solution

The third proportional to 55,750 and 119,132 is: 254,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,750 : 119,132 = 119,132 : x
  2. Step 2: Convert to fraction form
    55,750/119,132 = 119,132/x
  3. Step 3: Cross multiply
    55,750x = 119,132 × 119,132
  4. Step 4: Simplify right side
    55,750x = 14,192,433,424
  5. Step 5: Solve for x
    x = 14,192,433,424/55,750
  6. Step 6: Final answer
    x = 254,572.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.