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Finding the Third Proportional to 42,341 and 61,922

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Solution

The third proportional to 42,341 and 61,922 is: 90,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,341 : 61,922 = 61,922 : x
  2. Step 2: Convert to fraction form
    42,341/61,922 = 61,922/x
  3. Step 3: Cross multiply
    42,341x = 61,922 × 61,922
  4. Step 4: Simplify right side
    42,341x = 3,834,334,084
  5. Step 5: Solve for x
    x = 3,834,334,084/42,341
  6. Step 6: Final answer
    x = 90,558.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.