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Finding the Third Proportional to 43,051 and 92,699

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Solution

The third proportional to 43,051 and 92,699 is: 199,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,051 : 92,699 = 92,699 : x
  2. Step 2: Convert to fraction form
    43,051/92,699 = 92,699/x
  3. Step 3: Cross multiply
    43,051x = 92,699 × 92,699
  4. Step 4: Simplify right side
    43,051x = 8,593,104,601
  5. Step 5: Solve for x
    x = 8,593,104,601/43,051
  6. Step 6: Final answer
    x = 199,602.90

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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.