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Finding the Third Proportional to 47,961 and 75,888

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Solution

The third proportional to 47,961 and 75,888 is: 120,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,961 : 75,888 = 75,888 : x
  2. Step 2: Convert to fraction form
    47,961/75,888 = 75,888/x
  3. Step 3: Cross multiply
    47,961x = 75,888 × 75,888
  4. Step 4: Simplify right side
    47,961x = 5,758,988,544
  5. Step 5: Solve for x
    x = 5,758,988,544/47,961
  6. Step 6: Final answer
    x = 120,076.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.