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Finding the Third Proportional to 60,816 and 91,133

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Solution

The third proportional to 60,816 and 91,133 is: 136,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,816 : 91,133 = 91,133 : x
  2. Step 2: Convert to fraction form
    60,816/91,133 = 91,133/x
  3. Step 3: Cross multiply
    60,816x = 91,133 × 91,133
  4. Step 4: Simplify right side
    60,816x = 8,305,223,689
  5. Step 5: Solve for x
    x = 8,305,223,689/60,816
  6. Step 6: Final answer
    x = 136,563.14

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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.