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Finding the Third Proportional to 46,723 and 109,691

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Solution

The third proportional to 46,723 and 109,691 is: 257,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,723 : 109,691 = 109,691 : x
  2. Step 2: Convert to fraction form
    46,723/109,691 = 109,691/x
  3. Step 3: Cross multiply
    46,723x = 109,691 × 109,691
  4. Step 4: Simplify right side
    46,723x = 12,032,115,481
  5. Step 5: Solve for x
    x = 12,032,115,481/46,723
  6. Step 6: Final answer
    x = 257,520.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.