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Finding the Third Proportional to 44,041 and 93,549

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Solution

The third proportional to 44,041 and 93,549 is: 198,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,041 : 93,549 = 93,549 : x
  2. Step 2: Convert to fraction form
    44,041/93,549 = 93,549/x
  3. Step 3: Cross multiply
    44,041x = 93,549 × 93,549
  4. Step 4: Simplify right side
    44,041x = 8,751,415,401
  5. Step 5: Solve for x
    x = 8,751,415,401/44,041
  6. Step 6: Final answer
    x = 198,710.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.