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Finding the Third Proportional to 43,142 and 92,764

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Solution

The third proportional to 43,142 and 92,764 is: 199,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,142 : 92,764 = 92,764 : x
  2. Step 2: Convert to fraction form
    43,142/92,764 = 92,764/x
  3. Step 3: Cross multiply
    43,142x = 92,764 × 92,764
  4. Step 4: Simplify right side
    43,142x = 8,605,159,696
  5. Step 5: Solve for x
    x = 8,605,159,696/43,142
  6. Step 6: Final answer
    x = 199,461.31

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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.