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Finding the Third Proportional to 70,416 and 146,634

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Solution

The third proportional to 70,416 and 146,634 is: 305,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416 : 146,634 = 146,634 : x
  2. Step 2: Convert to fraction form
    70,416/146,634 = 146,634/x
  3. Step 3: Cross multiply
    70,416x = 146,634 × 146,634
  4. Step 4: Simplify right side
    70,416x = 21,501,529,956
  5. Step 5: Solve for x
    x = 21,501,529,956/70,416
  6. Step 6: Final answer
    x = 305,350.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.