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Finding the Third Proportional to 108,743.81 and 166,365.84

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Solution

The third proportional to 108,743.81 and 166,365.84 is: 254,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,743.81 : 166,365.84 = 166,365.84 : x
  2. Step 2: Convert to fraction form
    108,743.81/166,365.84 = 166,365.84/x
  3. Step 3: Cross multiply
    108,743.81x = 166,365.84 × 166,365.84
  4. Step 4: Simplify right side
    108,743.81x = 27,677,593,966.65
  5. Step 5: Solve for x
    x = 27,677,593,966.65/108,743.81
  6. Step 6: Final answer
    x = 254,521.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.