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Finding the Third Proportional to 117,046.13 and 167,266.69

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Solution

The third proportional to 117,046.13 and 167,266.69 is: 239,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,046.13 : 167,266.69 = 167,266.69 : x
  2. Step 2: Convert to fraction form
    117,046.13/167,266.69 = 167,266.69/x
  3. Step 3: Cross multiply
    117,046.13x = 167,266.69 × 167,266.69
  4. Step 4: Simplify right side
    117,046.13x = 27,978,144,747.22
  5. Step 5: Solve for x
    x = 27,978,144,747.22/117,046.13
  6. Step 6: Final answer
    x = 239,035.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.