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Finding the Third Proportional to 46,715 and 109,671

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Solution

The third proportional to 46,715 and 109,671 is: 257,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,715 : 109,671 = 109,671 : x
  2. Step 2: Convert to fraction form
    46,715/109,671 = 109,671/x
  3. Step 3: Cross multiply
    46,715x = 109,671 × 109,671
  4. Step 4: Simplify right side
    46,715x = 12,027,728,241
  5. Step 5: Solve for x
    x = 12,027,728,241/46,715
  6. Step 6: Final answer
    x = 257,470.37

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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.