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Finding the Third Proportional to 46,182 and 98,682

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Solution

The third proportional to 46,182 and 98,682 is: 210,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182 : 98,682 = 98,682 : x
  2. Step 2: Convert to fraction form
    46,182/98,682 = 98,682/x
  3. Step 3: Cross multiply
    46,182x = 98,682 × 98,682
  4. Step 4: Simplify right side
    46,182x = 9,738,137,124
  5. Step 5: Solve for x
    x = 9,738,137,124/46,182
  6. Step 6: Final answer
    x = 210,864.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.