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Finding the Third Proportional to 43,127 and 92,554

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Solution

The third proportional to 43,127 and 92,554 is: 198,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,127 : 92,554 = 92,554 : x
  2. Step 2: Convert to fraction form
    43,127/92,554 = 92,554/x
  3. Step 3: Cross multiply
    43,127x = 92,554 × 92,554
  4. Step 4: Simplify right side
    43,127x = 8,566,242,916
  5. Step 5: Solve for x
    x = 8,566,242,916/43,127
  6. Step 6: Final answer
    x = 198,628.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.