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Finding the Third Proportional to 141,439.50 and 309,123

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Solution

The third proportional to 141,439.50 and 309,123 is: 675,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,439.50 : 309,123 = 309,123 : x
  2. Step 2: Convert to fraction form
    141,439.50/309,123 = 309,123/x
  3. Step 3: Cross multiply
    141,439.50x = 309,123 × 309,123
  4. Step 4: Simplify right side
    141,439.50x = 95,557,029,129
  5. Step 5: Solve for x
    x = 95,557,029,129/141,439.50
  6. Step 6: Final answer
    x = 675,603.56

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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.