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Finding the Third Proportional to 88,665 and 133,089

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Solution

The third proportional to 88,665 and 133,089 is: 199,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,665 : 133,089 = 133,089 : x
  2. Step 2: Convert to fraction form
    88,665/133,089 = 133,089/x
  3. Step 3: Cross multiply
    88,665x = 133,089 × 133,089
  4. Step 4: Simplify right side
    88,665x = 17,712,681,921
  5. Step 5: Solve for x
    x = 17,712,681,921/88,665
  6. Step 6: Final answer
    x = 199,770.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.