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Finding the Third Proportional to 44,840 and 98,671

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Solution

The third proportional to 44,840 and 98,671 is: 217,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,840 : 98,671 = 98,671 : x
  2. Step 2: Convert to fraction form
    44,840/98,671 = 98,671/x
  3. Step 3: Cross multiply
    44,840x = 98,671 × 98,671
  4. Step 4: Simplify right side
    44,840x = 9,735,966,241
  5. Step 5: Solve for x
    x = 9,735,966,241/44,840
  6. Step 6: Final answer
    x = 217,126.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.