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Finding the Third Proportional to 65,405 and 136,731

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Solution

The third proportional to 65,405 and 136,731 is: 285,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,405 : 136,731 = 136,731 : x
  2. Step 2: Convert to fraction form
    65,405/136,731 = 136,731/x
  3. Step 3: Cross multiply
    65,405x = 136,731 × 136,731
  4. Step 4: Simplify right side
    65,405x = 18,695,366,361
  5. Step 5: Solve for x
    x = 18,695,366,361/65,405
  6. Step 6: Final answer
    x = 285,840.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.