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Finding the Third Proportional to 64,427 and 130,667

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Solution

The third proportional to 64,427 and 130,667 is: 265,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,427 : 130,667 = 130,667 : x
  2. Step 2: Convert to fraction form
    64,427/130,667 = 130,667/x
  3. Step 3: Cross multiply
    64,427x = 130,667 × 130,667
  4. Step 4: Simplify right side
    64,427x = 17,073,864,889
  5. Step 5: Solve for x
    x = 17,073,864,889/64,427
  6. Step 6: Final answer
    x = 265,011.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.