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Finding the Third Proportional to 108,288 and 172,800

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Solution

The third proportional to 108,288 and 172,800 is: 275,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,288 : 172,800 = 172,800 : x
  2. Step 2: Convert to fraction form
    108,288/172,800 = 172,800/x
  3. Step 3: Cross multiply
    108,288x = 172,800 × 172,800
  4. Step 4: Simplify right side
    108,288x = 29,859,840,000
  5. Step 5: Solve for x
    x = 29,859,840,000/108,288
  6. Step 6: Final answer
    x = 275,744.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.