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Finding the Third Proportional to 52,006 and 121,339

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Solution

The third proportional to 52,006 and 121,339 is: 283,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006 : 121,339 = 121,339 : x
  2. Step 2: Convert to fraction form
    52,006/121,339 = 121,339/x
  3. Step 3: Cross multiply
    52,006x = 121,339 × 121,339
  4. Step 4: Simplify right side
    52,006x = 14,723,152,921
  5. Step 5: Solve for x
    x = 14,723,152,921/52,006
  6. Step 6: Final answer
    x = 283,104.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.