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Finding the Third Proportional to 117,006 and 167,202.75

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Solution

The third proportional to 117,006 and 167,202.75 is: 238,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,006 : 167,202.75 = 167,202.75 : x
  2. Step 2: Convert to fraction form
    117,006/167,202.75 = 167,202.75/x
  3. Step 3: Cross multiply
    117,006x = 167,202.75 × 167,202.75
  4. Step 4: Simplify right side
    117,006x = 27,956,759,607.56
  5. Step 5: Solve for x
    x = 27,956,759,607.56/117,006
  6. Step 6: Final answer
    x = 238,934.41

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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.