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Finding the Third Proportional to 60,801 and 91,396

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Solution

The third proportional to 60,801 and 91,396 is: 137,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,801 : 91,396 = 91,396 : x
  2. Step 2: Convert to fraction form
    60,801/91,396 = 91,396/x
  3. Step 3: Cross multiply
    60,801x = 91,396 × 91,396
  4. Step 4: Simplify right side
    60,801x = 8,353,228,816
  5. Step 5: Solve for x
    x = 8,353,228,816/60,801
  6. Step 6: Final answer
    x = 137,386.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.