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Finding the Third Proportional to 61,064 and 132,496

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Solution

The third proportional to 61,064 and 132,496 is: 287,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,064 : 132,496 = 132,496 : x
  2. Step 2: Convert to fraction form
    61,064/132,496 = 132,496/x
  3. Step 3: Cross multiply
    61,064x = 132,496 × 132,496
  4. Step 4: Simplify right side
    61,064x = 17,555,190,016
  5. Step 5: Solve for x
    x = 17,555,190,016/61,064
  6. Step 6: Final answer
    x = 287,488.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.