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Finding the Third Proportional to 47,900 and 75,546

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Solution

The third proportional to 47,900 and 75,546 is: 119,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,900 : 75,546 = 75,546 : x
  2. Step 2: Convert to fraction form
    47,900/75,546 = 75,546/x
  3. Step 3: Cross multiply
    47,900x = 75,546 × 75,546
  4. Step 4: Simplify right side
    47,900x = 5,707,198,116
  5. Step 5: Solve for x
    x = 5,707,198,116/47,900
  6. Step 6: Final answer
    x = 119,148.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.