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Finding the Third Proportional to 47,042 and 73,155

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Solution

The third proportional to 47,042 and 73,155 is: 113,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,042 : 73,155 = 73,155 : x
  2. Step 2: Convert to fraction form
    47,042/73,155 = 73,155/x
  3. Step 3: Cross multiply
    47,042x = 73,155 × 73,155
  4. Step 4: Simplify right side
    47,042x = 5,351,654,025
  5. Step 5: Solve for x
    x = 5,351,654,025/47,042
  6. Step 6: Final answer
    x = 113,763.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.