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Finding the Third Proportional to 133,043 and 146,165

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Solution

The third proportional to 133,043 and 146,165 is: 160,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043 : 146,165 = 146,165 : x
  2. Step 2: Convert to fraction form
    133,043/146,165 = 146,165/x
  3. Step 3: Cross multiply
    133,043x = 146,165 × 146,165
  4. Step 4: Simplify right side
    133,043x = 21,364,207,225
  5. Step 5: Solve for x
    x = 21,364,207,225/133,043
  6. Step 6: Final answer
    x = 160,581.22

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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.