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Finding the Third Proportional to 49,000 and 77,876

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Solution

The third proportional to 49,000 and 77,876 is: 123,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,000 : 77,876 = 77,876 : x
  2. Step 2: Convert to fraction form
    49,000/77,876 = 77,876/x
  3. Step 3: Cross multiply
    49,000x = 77,876 × 77,876
  4. Step 4: Simplify right side
    49,000x = 6,064,671,376
  5. Step 5: Solve for x
    x = 6,064,671,376/49,000
  6. Step 6: Final answer
    x = 123,768.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.