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Finding the Third Proportional to 76,629.38 and 115,050.38

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Solution

The third proportional to 76,629.38 and 115,050.38 is: 172,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,629.38 : 115,050.38 = 115,050.38 : x
  2. Step 2: Convert to fraction form
    76,629.38/115,050.38 = 115,050.38/x
  3. Step 3: Cross multiply
    76,629.38x = 115,050.38 × 115,050.38
  4. Step 4: Simplify right side
    76,629.38x = 13,236,588,787.64
  5. Step 5: Solve for x
    x = 13,236,588,787.64/76,629.38
  6. Step 6: Final answer
    x = 172,735.18

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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.