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Finding the Third Proportional to 118,353.09 and 166,471.88

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Solution

The third proportional to 118,353.09 and 166,471.88 is: 234,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,353.09 : 166,471.88 = 166,471.88 : x
  2. Step 2: Convert to fraction form
    118,353.09/166,471.88 = 166,471.88/x
  3. Step 3: Cross multiply
    118,353.09x = 166,471.88 × 166,471.88
  4. Step 4: Simplify right side
    118,353.09x = 27,712,885,166.02
  5. Step 5: Solve for x
    x = 27,712,885,166.02/118,353.09
  6. Step 6: Final answer
    x = 234,154.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.