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Finding the Third Proportional to 70,432 and 146,712

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Solution

The third proportional to 70,432 and 146,712 is: 305,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432 : 146,712 = 146,712 : x
  2. Step 2: Convert to fraction form
    70,432/146,712 = 146,712/x
  3. Step 3: Cross multiply
    70,432x = 146,712 × 146,712
  4. Step 4: Simplify right side
    70,432x = 21,524,410,944
  5. Step 5: Solve for x
    x = 21,524,410,944/70,432
  6. Step 6: Final answer
    x = 305,605.56

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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.