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Finding the Third Proportional to 44,734 and 97,874

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Solution

The third proportional to 44,734 and 97,874 is: 214,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,734 : 97,874 = 97,874 : x
  2. Step 2: Convert to fraction form
    44,734/97,874 = 97,874/x
  3. Step 3: Cross multiply
    44,734x = 97,874 × 97,874
  4. Step 4: Simplify right side
    44,734x = 9,579,319,876
  5. Step 5: Solve for x
    x = 9,579,319,876/44,734
  6. Step 6: Final answer
    x = 214,139.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.