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Finding the Third Proportional to 42,508 and 93,404

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Solution

The third proportional to 42,508 and 93,404 is: 205,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,508 : 93,404 = 93,404 : x
  2. Step 2: Convert to fraction form
    42,508/93,404 = 93,404/x
  3. Step 3: Cross multiply
    42,508x = 93,404 × 93,404
  4. Step 4: Simplify right side
    42,508x = 8,724,307,216
  5. Step 5: Solve for x
    x = 8,724,307,216/42,508
  6. Step 6: Final answer
    x = 205,239.18

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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.