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Finding the Third Proportional to 42,599 and 93,763

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Solution

The third proportional to 42,599 and 93,763 is: 206,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,599 : 93,763 = 93,763 : x
  2. Step 2: Convert to fraction form
    42,599/93,763 = 93,763/x
  3. Step 3: Cross multiply
    42,599x = 93,763 × 93,763
  4. Step 4: Simplify right side
    42,599x = 8,791,500,169
  5. Step 5: Solve for x
    x = 8,791,500,169/42,599
  6. Step 6: Final answer
    x = 206,378.09

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Why These Related Problems?

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