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Finding the Third Proportional to 61,824 and 133,504

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Solution

The third proportional to 61,824 and 133,504 is: 288,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,824 : 133,504 = 133,504 : x
  2. Step 2: Convert to fraction form
    61,824/133,504 = 133,504/x
  3. Step 3: Cross multiply
    61,824x = 133,504 × 133,504
  4. Step 4: Simplify right side
    61,824x = 17,823,318,016
  5. Step 5: Solve for x
    x = 17,823,318,016/61,824
  6. Step 6: Final answer
    x = 288,291.25

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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.