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Finding the Third Proportional to 116,057.81 and 156,588.19

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Solution

The third proportional to 116,057.81 and 156,588.19 is: 211,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,057.81 : 156,588.19 = 156,588.19 : x
  2. Step 2: Convert to fraction form
    116,057.81/156,588.19 = 156,588.19/x
  3. Step 3: Cross multiply
    116,057.81x = 156,588.19 × 156,588.19
  4. Step 4: Simplify right side
    116,057.81x = 24,519,860,464.54
  5. Step 5: Solve for x
    x = 24,519,860,464.54/116,057.81
  6. Step 6: Final answer
    x = 211,272.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.