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Finding the Third Proportional to 67,207 and 146,712

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Solution

The third proportional to 67,207 and 146,712 is: 320,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,207 : 146,712 = 146,712 : x
  2. Step 2: Convert to fraction form
    67,207/146,712 = 146,712/x
  3. Step 3: Cross multiply
    67,207x = 146,712 × 146,712
  4. Step 4: Simplify right side
    67,207x = 21,524,410,944
  5. Step 5: Solve for x
    x = 21,524,410,944/67,207
  6. Step 6: Final answer
    x = 320,270.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.