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Finding the Third Proportional to 133,089 and 146,211

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Solution

The third proportional to 133,089 and 146,211 is: 160,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089 : 146,211 = 146,211 : x
  2. Step 2: Convert to fraction form
    133,089/146,211 = 146,211/x
  3. Step 3: Cross multiply
    133,089x = 146,211 × 146,211
  4. Step 4: Simplify right side
    133,089x = 21,377,656,521
  5. Step 5: Solve for x
    x = 21,377,656,521/133,089
  6. Step 6: Final answer
    x = 160,626.77

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.