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Finding the Third Proportional to 133,085 and 146,207

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Solution

The third proportional to 133,085 and 146,207 is: 160,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 146,207 = 146,207 : x
  2. Step 2: Convert to fraction form
    133,085/146,207 = 146,207/x
  3. Step 3: Cross multiply
    133,085x = 146,207 × 146,207
  4. Step 4: Simplify right side
    133,085x = 21,376,486,849
  5. Step 5: Solve for x
    x = 21,376,486,849/133,085
  6. Step 6: Final answer
    x = 160,622.81

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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.