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Finding the Third Proportional to 62,064 and 133,967

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Solution

The third proportional to 62,064 and 133,967 is: 289,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,064 : 133,967 = 133,967 : x
  2. Step 2: Convert to fraction form
    62,064/133,967 = 133,967/x
  3. Step 3: Cross multiply
    62,064x = 133,967 × 133,967
  4. Step 4: Simplify right side
    62,064x = 17,947,157,089
  5. Step 5: Solve for x
    x = 17,947,157,089/62,064
  6. Step 6: Final answer
    x = 289,171.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.