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Finding the Third Proportional to 108,721 and 172,964

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Solution

The third proportional to 108,721 and 172,964 is: 275,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,721 : 172,964 = 172,964 : x
  2. Step 2: Convert to fraction form
    108,721/172,964 = 172,964/x
  3. Step 3: Cross multiply
    108,721x = 172,964 × 172,964
  4. Step 4: Simplify right side
    108,721x = 29,916,545,296
  5. Step 5: Solve for x
    x = 29,916,545,296/108,721
  6. Step 6: Final answer
    x = 275,168.05

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