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Finding the Third Proportional to 52,591 and 115,701

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Solution

The third proportional to 52,591 and 115,701 is: 254,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,591 : 115,701 = 115,701 : x
  2. Step 2: Convert to fraction form
    52,591/115,701 = 115,701/x
  3. Step 3: Cross multiply
    52,591x = 115,701 × 115,701
  4. Step 4: Simplify right side
    52,591x = 13,386,721,401
  5. Step 5: Solve for x
    x = 13,386,721,401/52,591
  6. Step 6: Final answer
    x = 254,543.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.