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Finding the Third Proportional to 70,460 and 146,740

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Solution

The third proportional to 70,460 and 146,740 is: 305,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,460 : 146,740 = 146,740 : x
  2. Step 2: Convert to fraction form
    70,460/146,740 = 146,740/x
  3. Step 3: Cross multiply
    70,460x = 146,740 × 146,740
  4. Step 4: Simplify right side
    70,460x = 21,532,627,600
  5. Step 5: Solve for x
    x = 21,532,627,600/70,460
  6. Step 6: Final answer
    x = 305,600.73

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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.