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Finding the Third Proportional to 44,637 and 105,191

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Solution

The third proportional to 44,637 and 105,191 is: 247,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,637 : 105,191 = 105,191 : x
  2. Step 2: Convert to fraction form
    44,637/105,191 = 105,191/x
  3. Step 3: Cross multiply
    44,637x = 105,191 × 105,191
  4. Step 4: Simplify right side
    44,637x = 11,065,146,481
  5. Step 5: Solve for x
    x = 11,065,146,481/44,637
  6. Step 6: Final answer
    x = 247,891.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.