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Finding the Third Proportional to 76,960.13 and 166,090.50

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Solution

The third proportional to 76,960.13 and 166,090.50 is: 358,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,960.13 : 166,090.50 = 166,090.50 : x
  2. Step 2: Convert to fraction form
    76,960.13/166,090.50 = 166,090.50/x
  3. Step 3: Cross multiply
    76,960.13x = 166,090.50 × 166,090.50
  4. Step 4: Simplify right side
    76,960.13x = 27,586,054,190.25
  5. Step 5: Solve for x
    x = 27,586,054,190.25/76,960.13
  6. Step 6: Final answer
    x = 358,446.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.