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Finding the Third Proportional to 76,944.94 and 115,108.59

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Solution

The third proportional to 76,944.94 and 115,108.59 is: 172,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944.94 : 115,108.59 = 115,108.59 : x
  2. Step 2: Convert to fraction form
    76,944.94/115,108.59 = 115,108.59/x
  3. Step 3: Cross multiply
    76,944.94x = 115,108.59 × 115,108.59
  4. Step 4: Simplify right side
    76,944.94x = 13,249,988,355.10
  5. Step 5: Solve for x
    x = 13,249,988,355.10/76,944.94
  6. Step 6: Final answer
    x = 172,200.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.