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Finding the Third Proportional to 129,114 and 283,149

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Solution

The third proportional to 129,114 and 283,149 is: 620,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,114 : 283,149 = 283,149 : x
  2. Step 2: Convert to fraction form
    129,114/283,149 = 283,149/x
  3. Step 3: Cross multiply
    129,114x = 283,149 × 283,149
  4. Step 4: Simplify right side
    129,114x = 80,173,356,201
  5. Step 5: Solve for x
    x = 80,173,356,201/129,114
  6. Step 6: Final answer
    x = 620,950.14

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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.