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Finding the Third Proportional to 60,836 and 91,004

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Solution

The third proportional to 60,836 and 91,004 is: 136,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,836 : 91,004 = 91,004 : x
  2. Step 2: Convert to fraction form
    60,836/91,004 = 91,004/x
  3. Step 3: Cross multiply
    60,836x = 91,004 × 91,004
  4. Step 4: Simplify right side
    60,836x = 8,281,728,016
  5. Step 5: Solve for x
    x = 8,281,728,016/60,836
  6. Step 6: Final answer
    x = 136,132.03

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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.