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Finding the Third Proportional to 76,549.13 and 166,243.13

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Solution

The third proportional to 76,549.13 and 166,243.13 is: 361,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.13 : 166,243.13 = 166,243.13 : x
  2. Step 2: Convert to fraction form
    76,549.13/166,243.13 = 166,243.13/x
  3. Step 3: Cross multiply
    76,549.13x = 166,243.13 × 166,243.13
  4. Step 4: Simplify right side
    76,549.13x = 27,636,776,609.77
  5. Step 5: Solve for x
    x = 27,636,776,609.77/76,549.13
  6. Step 6: Final answer
    x = 361,033.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.