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Finding the Third Proportional to 43,101 and 92,763

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Solution

The third proportional to 43,101 and 92,763 is: 199,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,101 : 92,763 = 92,763 : x
  2. Step 2: Convert to fraction form
    43,101/92,763 = 92,763/x
  3. Step 3: Cross multiply
    43,101x = 92,763 × 92,763
  4. Step 4: Simplify right side
    43,101x = 8,604,974,169
  5. Step 5: Solve for x
    x = 8,604,974,169/43,101
  6. Step 6: Final answer
    x = 199,646.74

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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.