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Finding the Third Proportional to 76,512 and 114,768

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Solution

The third proportional to 76,512 and 114,768 is: 172,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512 : 114,768 = 114,768 : x
  2. Step 2: Convert to fraction form
    76,512/114,768 = 114,768/x
  3. Step 3: Cross multiply
    76,512x = 114,768 × 114,768
  4. Step 4: Simplify right side
    76,512x = 13,171,693,824
  5. Step 5: Solve for x
    x = 13,171,693,824/76,512
  6. Step 6: Final answer
    x = 172,152

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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.