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Finding the Third Proportional to 44,858 and 92,540

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Solution

The third proportional to 44,858 and 92,540 is: 190,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,858 : 92,540 = 92,540 : x
  2. Step 2: Convert to fraction form
    44,858/92,540 = 92,540/x
  3. Step 3: Cross multiply
    44,858x = 92,540 × 92,540
  4. Step 4: Simplify right side
    44,858x = 8,563,651,600
  5. Step 5: Solve for x
    x = 8,563,651,600/44,858
  6. Step 6: Final answer
    x = 190,905.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.