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Finding the Third Proportional to 61,016.73 and 131,399.40

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Solution

The third proportional to 61,016.73 and 131,399.40 is: 282,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,016.73 : 131,399.40 = 131,399.40 : x
  2. Step 2: Convert to fraction form
    61,016.73/131,399.40 = 131,399.40/x
  3. Step 3: Cross multiply
    61,016.73x = 131,399.40 × 131,399.40
  4. Step 4: Simplify right side
    61,016.73x = 17,265,802,936.29
  5. Step 5: Solve for x
    x = 17,265,802,936.29/61,016.73
  6. Step 6: Final answer
    x = 282,968.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.