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Finding the Third Proportional to 108,747 and 191,520

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Solution

The third proportional to 108,747 and 191,520 is: 337,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,747 : 191,520 = 191,520 : x
  2. Step 2: Convert to fraction form
    108,747/191,520 = 191,520/x
  3. Step 3: Cross multiply
    108,747x = 191,520 × 191,520
  4. Step 4: Simplify right side
    108,747x = 36,679,910,400
  5. Step 5: Solve for x
    x = 36,679,910,400/108,747
  6. Step 6: Final answer
    x = 337,295.84

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.