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Finding the Third Proportional to 46,653 and 100,671

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Solution

The third proportional to 46,653 and 100,671 is: 217,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,653 : 100,671 = 100,671 : x
  2. Step 2: Convert to fraction form
    46,653/100,671 = 100,671/x
  3. Step 3: Cross multiply
    46,653x = 100,671 × 100,671
  4. Step 4: Simplify right side
    46,653x = 10,134,650,241
  5. Step 5: Solve for x
    x = 10,134,650,241/46,653
  6. Step 6: Final answer
    x = 217,234.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.