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Finding the Third Proportional to 116,783 and 156,926

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Solution

The third proportional to 116,783 and 156,926 is: 210,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,783 : 156,926 = 156,926 : x
  2. Step 2: Convert to fraction form
    116,783/156,926 = 156,926/x
  3. Step 3: Cross multiply
    116,783x = 156,926 × 156,926
  4. Step 4: Simplify right side
    116,783x = 24,625,769,476
  5. Step 5: Solve for x
    x = 24,625,769,476/116,783
  6. Step 6: Final answer
    x = 210,867.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.