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Finding the Third Proportional to 76,965 and 115,138.50

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Solution

The third proportional to 76,965 and 115,138.50 is: 172,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965 : 115,138.50 = 115,138.50 : x
  2. Step 2: Convert to fraction form
    76,965/115,138.50 = 115,138.50/x
  3. Step 3: Cross multiply
    76,965x = 115,138.50 × 115,138.50
  4. Step 4: Simplify right side
    76,965x = 13,256,874,182.25
  5. Step 5: Solve for x
    x = 13,256,874,182.25/76,965
  6. Step 6: Final answer
    x = 172,245.49

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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.