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Finding the Third Proportional to 47,077 and 103,630

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Solution

The third proportional to 47,077 and 103,630 is: 228,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,077 : 103,630 = 103,630 : x
  2. Step 2: Convert to fraction form
    47,077/103,630 = 103,630/x
  3. Step 3: Cross multiply
    47,077x = 103,630 × 103,630
  4. Step 4: Simplify right side
    47,077x = 10,739,176,900
  5. Step 5: Solve for x
    x = 10,739,176,900/47,077
  6. Step 6: Final answer
    x = 228,119.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.