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Finding the Third Proportional to 63,968 and 100,343

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Solution

The third proportional to 63,968 and 100,343 is: 157,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,968 : 100,343 = 100,343 : x
  2. Step 2: Convert to fraction form
    63,968/100,343 = 100,343/x
  3. Step 3: Cross multiply
    63,968x = 100,343 × 100,343
  4. Step 4: Simplify right side
    63,968x = 10,068,717,649
  5. Step 5: Solve for x
    x = 10,068,717,649/63,968
  6. Step 6: Final answer
    x = 157,402.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.