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Finding the Third Proportional to 46,854 and 101,475

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Solution

The third proportional to 46,854 and 101,475 is: 219,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854 : 101,475 = 101,475 : x
  2. Step 2: Convert to fraction form
    46,854/101,475 = 101,475/x
  3. Step 3: Cross multiply
    46,854x = 101,475 × 101,475
  4. Step 4: Simplify right side
    46,854x = 10,297,175,625
  5. Step 5: Solve for x
    x = 10,297,175,625/46,854
  6. Step 6: Final answer
    x = 219,771.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.