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Finding the Third Proportional to 76,610.81 and 178,027.88

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Solution

The third proportional to 76,610.81 and 178,027.88 is: 413,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,610.81 : 178,027.88 = 178,027.88 : x
  2. Step 2: Convert to fraction form
    76,610.81/178,027.88 = 178,027.88/x
  3. Step 3: Cross multiply
    76,610.81x = 178,027.88 × 178,027.88
  4. Step 4: Simplify right side
    76,610.81x = 31,693,924,277.02
  5. Step 5: Solve for x
    x = 31,693,924,277.02/76,610.81
  6. Step 6: Final answer
    x = 413,700.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.