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Finding the Third Proportional to 118,665.84 and 158,517.84

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Solution

The third proportional to 118,665.84 and 158,517.84 is: 211,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,665.84 : 158,517.84 = 158,517.84 : x
  2. Step 2: Convert to fraction form
    118,665.84/158,517.84 = 158,517.84/x
  3. Step 3: Cross multiply
    118,665.84x = 158,517.84 × 158,517.84
  4. Step 4: Simplify right side
    118,665.84x = 25,127,906,787.15
  5. Step 5: Solve for x
    x = 25,127,906,787.15/118,665.84
  6. Step 6: Final answer
    x = 211,753.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.