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Finding the Third Proportional to 62,064 and 133,969

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Solution

The third proportional to 62,064 and 133,969 is: 289,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,064 : 133,969 = 133,969 : x
  2. Step 2: Convert to fraction form
    62,064/133,969 = 133,969/x
  3. Step 3: Cross multiply
    62,064x = 133,969 × 133,969
  4. Step 4: Simplify right side
    62,064x = 17,947,692,961
  5. Step 5: Solve for x
    x = 17,947,692,961/62,064
  6. Step 6: Final answer
    x = 289,180.41

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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.