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Finding the Third Proportional to 65,865 and 141,717

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Solution

The third proportional to 65,865 and 141,717 is: 304,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,865 : 141,717 = 141,717 : x
  2. Step 2: Convert to fraction form
    65,865/141,717 = 141,717/x
  3. Step 3: Cross multiply
    65,865x = 141,717 × 141,717
  4. Step 4: Simplify right side
    65,865x = 20,083,708,089
  5. Step 5: Solve for x
    x = 20,083,708,089/65,865
  6. Step 6: Final answer
    x = 304,922.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.