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Finding the Third Proportional to 65,860 and 100,404

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Solution

The third proportional to 65,860 and 100,404 is: 153,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,860 : 100,404 = 100,404 : x
  2. Step 2: Convert to fraction form
    65,860/100,404 = 100,404/x
  3. Step 3: Cross multiply
    65,860x = 100,404 × 100,404
  4. Step 4: Simplify right side
    65,860x = 10,080,963,216
  5. Step 5: Solve for x
    x = 10,080,963,216/65,860
  6. Step 6: Final answer
    x = 153,066.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.