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Finding the Third Proportional to 89,098 and 133,209

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Solution

The third proportional to 89,098 and 133,209 is: 199,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,098 : 133,209 = 133,209 : x
  2. Step 2: Convert to fraction form
    89,098/133,209 = 133,209/x
  3. Step 3: Cross multiply
    89,098x = 133,209 × 133,209
  4. Step 4: Simplify right side
    89,098x = 17,744,637,681
  5. Step 5: Solve for x
    x = 17,744,637,681/89,098
  6. Step 6: Final answer
    x = 199,158.65

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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.