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Finding the Third Proportional to 60,426 and 91,919

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Solution

The third proportional to 60,426 and 91,919 is: 139,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,426 : 91,919 = 91,919 : x
  2. Step 2: Convert to fraction form
    60,426/91,919 = 91,919/x
  3. Step 3: Cross multiply
    60,426x = 91,919 × 91,919
  4. Step 4: Simplify right side
    60,426x = 8,449,102,561
  5. Step 5: Solve for x
    x = 8,449,102,561/60,426
  6. Step 6: Final answer
    x = 139,825.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.