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Finding the Third Proportional to 108,043 and 163,555

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Solution

The third proportional to 108,043 and 163,555 is: 247,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,043 : 163,555 = 163,555 : x
  2. Step 2: Convert to fraction form
    108,043/163,555 = 163,555/x
  3. Step 3: Cross multiply
    108,043x = 163,555 × 163,555
  4. Step 4: Simplify right side
    108,043x = 26,750,238,025
  5. Step 5: Solve for x
    x = 26,750,238,025/108,043
  6. Step 6: Final answer
    x = 247,588.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.