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Finding the Third Proportional to 89,133 and 133,718.75

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Solution

The third proportional to 89,133 and 133,718.75 is: 200,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,133 : 133,718.75 = 133,718.75 : x
  2. Step 2: Convert to fraction form
    89,133/133,718.75 = 133,718.75/x
  3. Step 3: Cross multiply
    89,133x = 133,718.75 × 133,718.75
  4. Step 4: Simplify right side
    89,133x = 17,880,704,101.56
  5. Step 5: Solve for x
    x = 17,880,704,101.56/89,133
  6. Step 6: Final answer
    x = 200,607.00

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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.