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Finding the Third Proportional to 46,166 and 98,731

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Solution

The third proportional to 46,166 and 98,731 is: 211,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,166 : 98,731 = 98,731 : x
  2. Step 2: Convert to fraction form
    46,166/98,731 = 98,731/x
  3. Step 3: Cross multiply
    46,166x = 98,731 × 98,731
  4. Step 4: Simplify right side
    46,166x = 9,747,810,361
  5. Step 5: Solve for x
    x = 9,747,810,361/46,166
  6. Step 6: Final answer
    x = 211,146.96

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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.