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Finding the Third Proportional to 117,414.56 and 167,852.25

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Solution

The third proportional to 117,414.56 and 167,852.25 is: 239,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,414.56 : 167,852.25 = 167,852.25 : x
  2. Step 2: Convert to fraction form
    117,414.56/167,852.25 = 167,852.25/x
  3. Step 3: Cross multiply
    117,414.56x = 167,852.25 × 167,852.25
  4. Step 4: Simplify right side
    117,414.56x = 28,174,377,830.06
  5. Step 5: Solve for x
    x = 28,174,377,830.06/117,414.56
  6. Step 6: Final answer
    x = 239,956.42

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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.