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Finding the Third Proportional to 65,418.75 and 103,757.63

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Solution

The third proportional to 65,418.75 and 103,757.63 is: 164,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,418.75 : 103,757.63 = 103,757.63 : x
  2. Step 2: Convert to fraction form
    65,418.75/103,757.63 = 103,757.63/x
  3. Step 3: Cross multiply
    65,418.75x = 103,757.63 × 103,757.63
  4. Step 4: Simplify right side
    65,418.75x = 10,765,644,745.64
  5. Step 5: Solve for x
    x = 10,765,644,745.64/65,418.75
  6. Step 6: Final answer
    x = 164,565.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.