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Finding the Third Proportional to 89,091 and 133,200

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Solution

The third proportional to 89,091 and 133,200 is: 199,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,091 : 133,200 = 133,200 : x
  2. Step 2: Convert to fraction form
    89,091/133,200 = 133,200/x
  3. Step 3: Cross multiply
    89,091x = 133,200 × 133,200
  4. Step 4: Simplify right side
    89,091x = 17,742,240,000
  5. Step 5: Solve for x
    x = 17,742,240,000/89,091
  6. Step 6: Final answer
    x = 199,147.39

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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.