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Finding the Third Proportional to 47,247 and 76,126.50

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Solution

The third proportional to 47,247 and 76,126.50 is: 122,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,247 : 76,126.50 = 76,126.50 : x
  2. Step 2: Convert to fraction form
    47,247/76,126.50 = 76,126.50/x
  3. Step 3: Cross multiply
    47,247x = 76,126.50 × 76,126.50
  4. Step 4: Simplify right side
    47,247x = 5,795,244,002.25
  5. Step 5: Solve for x
    x = 5,795,244,002.25/47,247
  6. Step 6: Final answer
    x = 122,658.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.