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Finding the Third Proportional to 76,620 and 178,050

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Solution

The third proportional to 76,620 and 178,050 is: 413,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,620 : 178,050 = 178,050 : x
  2. Step 2: Convert to fraction form
    76,620/178,050 = 178,050/x
  3. Step 3: Cross multiply
    76,620x = 178,050 × 178,050
  4. Step 4: Simplify right side
    76,620x = 31,701,802,500
  5. Step 5: Solve for x
    x = 31,701,802,500/76,620
  6. Step 6: Final answer
    x = 413,753.62

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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.