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Finding the Third Proportional to 108,434 and 164,163

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Solution

The third proportional to 108,434 and 164,163 is: 248,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,434 : 164,163 = 164,163 : x
  2. Step 2: Convert to fraction form
    108,434/164,163 = 164,163/x
  3. Step 3: Cross multiply
    108,434x = 164,163 × 164,163
  4. Step 4: Simplify right side
    108,434x = 26,949,490,569
  5. Step 5: Solve for x
    x = 26,949,490,569/108,434
  6. Step 6: Final answer
    x = 248,533.58

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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.