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Finding the Third Proportional to 70,434.75 and 166,102.88

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Solution

The third proportional to 70,434.75 and 166,102.88 is: 391,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434.75 : 166,102.88 = 166,102.88 : x
  2. Step 2: Convert to fraction form
    70,434.75/166,102.88 = 166,102.88/x
  3. Step 3: Cross multiply
    70,434.75x = 166,102.88 × 166,102.88
  4. Step 4: Simplify right side
    70,434.75x = 27,590,165,083.27
  5. Step 5: Solve for x
    x = 27,590,165,083.27/70,434.75
  6. Step 6: Final answer
    x = 391,712.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.