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Finding the Third Proportional to 46,856 and 74,941

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Solution

The third proportional to 46,856 and 74,941 is: 119,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,856 : 74,941 = 74,941 : x
  2. Step 2: Convert to fraction form
    46,856/74,941 = 74,941/x
  3. Step 3: Cross multiply
    46,856x = 74,941 × 74,941
  4. Step 4: Simplify right side
    46,856x = 5,616,153,481
  5. Step 5: Solve for x
    x = 5,616,153,481/46,856
  6. Step 6: Final answer
    x = 119,859.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.