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Finding the Third Proportional to 42,941 and 94,603

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Solution

The third proportional to 42,941 and 94,603 is: 208,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,941 : 94,603 = 94,603 : x
  2. Step 2: Convert to fraction form
    42,941/94,603 = 94,603/x
  3. Step 3: Cross multiply
    42,941x = 94,603 × 94,603
  4. Step 4: Simplify right side
    42,941x = 8,949,727,609
  5. Step 5: Solve for x
    x = 8,949,727,609/42,941
  6. Step 6: Final answer
    x = 208,419.17

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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.