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Finding the Third Proportional to 42,289 and 90,957

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Solution

The third proportional to 42,289 and 90,957 is: 195,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,289 : 90,957 = 90,957 : x
  2. Step 2: Convert to fraction form
    42,289/90,957 = 90,957/x
  3. Step 3: Cross multiply
    42,289x = 90,957 × 90,957
  4. Step 4: Simplify right side
    42,289x = 8,273,175,849
  5. Step 5: Solve for x
    x = 8,273,175,849/42,289
  6. Step 6: Final answer
    x = 195,634.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.