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Finding the Third Proportional to 102,016 and 143,407

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Solution

The third proportional to 102,016 and 143,407 is: 201,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016 : 143,407 = 143,407 : x
  2. Step 2: Convert to fraction form
    102,016/143,407 = 143,407/x
  3. Step 3: Cross multiply
    102,016x = 143,407 × 143,407
  4. Step 4: Simplify right side
    102,016x = 20,565,567,649
  5. Step 5: Solve for x
    x = 20,565,567,649/102,016
  6. Step 6: Final answer
    x = 201,591.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.