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Finding the Third Proportional to 116,776.69 and 156,917.25

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Solution

The third proportional to 116,776.69 and 156,917.25 is: 210,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,776.69 : 156,917.25 = 156,917.25 : x
  2. Step 2: Convert to fraction form
    116,776.69/156,917.25 = 156,917.25/x
  3. Step 3: Cross multiply
    116,776.69x = 156,917.25 × 156,917.25
  4. Step 4: Simplify right side
    116,776.69x = 24,623,023,347.56
  5. Step 5: Solve for x
    x = 24,623,023,347.56/116,776.69
  6. Step 6: Final answer
    x = 210,855.64

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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.