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Finding the Third Proportional to 64,116 and 135,396

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Solution

The third proportional to 64,116 and 135,396 is: 285,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,116 : 135,396 = 135,396 : x
  2. Step 2: Convert to fraction form
    64,116/135,396 = 135,396/x
  3. Step 3: Cross multiply
    64,116x = 135,396 × 135,396
  4. Step 4: Simplify right side
    64,116x = 18,332,076,816
  5. Step 5: Solve for x
    x = 18,332,076,816/64,116
  6. Step 6: Final answer
    x = 285,920.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.