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Finding the Third Proportional to 65,016 and 87,144

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Solution

The third proportional to 65,016 and 87,144 is: 116,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,016 : 87,144 = 87,144 : x
  2. Step 2: Convert to fraction form
    65,016/87,144 = 87,144/x
  3. Step 3: Cross multiply
    65,016x = 87,144 × 87,144
  4. Step 4: Simplify right side
    65,016x = 7,594,076,736
  5. Step 5: Solve for x
    x = 7,594,076,736/65,016
  6. Step 6: Final answer
    x = 116,803.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.