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Finding the Third Proportional to 61,652 and 133,016

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Solution

The third proportional to 61,652 and 133,016 is: 286,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,652 : 133,016 = 133,016 : x
  2. Step 2: Convert to fraction form
    61,652/133,016 = 133,016/x
  3. Step 3: Cross multiply
    61,652x = 133,016 × 133,016
  4. Step 4: Simplify right side
    61,652x = 17,693,256,256
  5. Step 5: Solve for x
    x = 17,693,256,256/61,652
  6. Step 6: Final answer
    x = 286,985.93

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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.