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Finding the Third Proportional to 47,066 and 72,016

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Solution

The third proportional to 47,066 and 72,016 is: 110,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,066 : 72,016 = 72,016 : x
  2. Step 2: Convert to fraction form
    47,066/72,016 = 72,016/x
  3. Step 3: Cross multiply
    47,066x = 72,016 × 72,016
  4. Step 4: Simplify right side
    47,066x = 5,186,304,256
  5. Step 5: Solve for x
    x = 5,186,304,256/47,066
  6. Step 6: Final answer
    x = 110,192.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.