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Finding the Third Proportional to 42,963 and 92,121

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Solution

The third proportional to 42,963 and 92,121 is: 197,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,963 : 92,121 = 92,121 : x
  2. Step 2: Convert to fraction form
    42,963/92,121 = 92,121/x
  3. Step 3: Cross multiply
    42,963x = 92,121 × 92,121
  4. Step 4: Simplify right side
    42,963x = 8,486,278,641
  5. Step 5: Solve for x
    x = 8,486,278,641/42,963
  6. Step 6: Final answer
    x = 197,525.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.