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Finding the Third Proportional to 108,664 and 172,906

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Solution

The third proportional to 108,664 and 172,906 is: 275,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,664 : 172,906 = 172,906 : x
  2. Step 2: Convert to fraction form
    108,664/172,906 = 172,906/x
  3. Step 3: Cross multiply
    108,664x = 172,906 × 172,906
  4. Step 4: Simplify right side
    108,664x = 29,896,484,836
  5. Step 5: Solve for x
    x = 29,896,484,836/108,664
  6. Step 6: Final answer
    x = 275,127.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.