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Finding the Third Proportional to 76,614 and 178,035

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Solution

The third proportional to 76,614 and 178,035 is: 413,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,614 : 178,035 = 178,035 : x
  2. Step 2: Convert to fraction form
    76,614/178,035 = 178,035/x
  3. Step 3: Cross multiply
    76,614x = 178,035 × 178,035
  4. Step 4: Simplify right side
    76,614x = 31,696,461,225
  5. Step 5: Solve for x
    x = 31,696,461,225/76,614
  6. Step 6: Final answer
    x = 413,716.31

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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.