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Finding the Third Proportional to 76,608 and 114,996

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Solution

The third proportional to 76,608 and 114,996 is: 172,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608 : 114,996 = 114,996 : x
  2. Step 2: Convert to fraction form
    76,608/114,996 = 114,996/x
  3. Step 3: Cross multiply
    76,608x = 114,996 × 114,996
  4. Step 4: Simplify right side
    76,608x = 13,224,080,016
  5. Step 5: Solve for x
    x = 13,224,080,016/76,608
  6. Step 6: Final answer
    x = 172,620.09

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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.