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Finding the Third Proportional to 76,652 and 115,074

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Solution

The third proportional to 76,652 and 115,074 is: 172,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,652 : 115,074 = 115,074 : x
  2. Step 2: Convert to fraction form
    76,652/115,074 = 115,074/x
  3. Step 3: Cross multiply
    76,652x = 115,074 × 115,074
  4. Step 4: Simplify right side
    76,652x = 13,242,025,476
  5. Step 5: Solve for x
    x = 13,242,025,476/76,652
  6. Step 6: Final answer
    x = 172,755.12

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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.