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Finding the Third Proportional to 108,411.75 and 166,844.81

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Solution

The third proportional to 108,411.75 and 166,844.81 is: 256,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,411.75 : 166,844.81 = 166,844.81 : x
  2. Step 2: Convert to fraction form
    108,411.75/166,844.81 = 166,844.81/x
  3. Step 3: Cross multiply
    108,411.75x = 166,844.81 × 166,844.81
  4. Step 4: Simplify right side
    108,411.75x = 27,837,191,458.16
  5. Step 5: Solve for x
    x = 27,837,191,458.16/108,411.75
  6. Step 6: Final answer
    x = 256,772.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.