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Finding the Third Proportional to 46,381 and 98,760

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Solution

The third proportional to 46,381 and 98,760 is: 210,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,381 : 98,760 = 98,760 : x
  2. Step 2: Convert to fraction form
    46,381/98,760 = 98,760/x
  3. Step 3: Cross multiply
    46,381x = 98,760 × 98,760
  4. Step 4: Simplify right side
    46,381x = 9,753,537,600
  5. Step 5: Solve for x
    x = 9,753,537,600/46,381
  6. Step 6: Final answer
    x = 210,291.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.