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Finding the Third Proportional to 119,562.75 and 255,123

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Solution

The third proportional to 119,562.75 and 255,123 is: 544,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,562.75 : 255,123 = 255,123 : x
  2. Step 2: Convert to fraction form
    119,562.75/255,123 = 255,123/x
  3. Step 3: Cross multiply
    119,562.75x = 255,123 × 255,123
  4. Step 4: Simplify right side
    119,562.75x = 65,087,745,129
  5. Step 5: Solve for x
    x = 65,087,745,129/119,562.75
  6. Step 6: Final answer
    x = 544,381.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.