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Finding the Third Proportional to 89,571 and 133,888.50

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Solution

The third proportional to 89,571 and 133,888.50 is: 200,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,571 : 133,888.50 = 133,888.50 : x
  2. Step 2: Convert to fraction form
    89,571/133,888.50 = 133,888.50/x
  3. Step 3: Cross multiply
    89,571x = 133,888.50 × 133,888.50
  4. Step 4: Simplify right side
    89,571x = 17,926,130,432.25
  5. Step 5: Solve for x
    x = 17,926,130,432.25/89,571
  6. Step 6: Final answer
    x = 200,133.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.