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Finding the Third Proportional to 133,091 and 146,213

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Solution

The third proportional to 133,091 and 146,213 is: 160,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,091 : 146,213 = 146,213 : x
  2. Step 2: Convert to fraction form
    133,091/146,213 = 146,213/x
  3. Step 3: Cross multiply
    133,091x = 146,213 × 146,213
  4. Step 4: Simplify right side
    133,091x = 21,378,241,369
  5. Step 5: Solve for x
    x = 21,378,241,369/133,091
  6. Step 6: Final answer
    x = 160,628.75

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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.