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Finding the Third Proportional to 135,987 and 291,642

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Solution

The third proportional to 135,987 and 291,642 is: 625,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,987 : 291,642 = 291,642 : x
  2. Step 2: Convert to fraction form
    135,987/291,642 = 291,642/x
  3. Step 3: Cross multiply
    135,987x = 291,642 × 291,642
  4. Step 4: Simplify right side
    135,987x = 85,055,056,164
  5. Step 5: Solve for x
    x = 85,055,056,164/135,987
  6. Step 6: Final answer
    x = 625,464.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.