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Finding the Third Proportional to 49,670 and 74,961

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Solution

The third proportional to 49,670 and 74,961 is: 113,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,670 : 74,961 = 74,961 : x
  2. Step 2: Convert to fraction form
    49,670/74,961 = 74,961/x
  3. Step 3: Cross multiply
    49,670x = 74,961 × 74,961
  4. Step 4: Simplify right side
    49,670x = 5,619,151,521
  5. Step 5: Solve for x
    x = 5,619,151,521/49,670
  6. Step 6: Final answer
    x = 113,129.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.