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Finding the Third Proportional to 43,033 and 92,658

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Solution

The third proportional to 43,033 and 92,658 is: 199,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,033 : 92,658 = 92,658 : x
  2. Step 2: Convert to fraction form
    43,033/92,658 = 92,658/x
  3. Step 3: Cross multiply
    43,033x = 92,658 × 92,658
  4. Step 4: Simplify right side
    43,033x = 8,585,504,964
  5. Step 5: Solve for x
    x = 8,585,504,964/43,033
  6. Step 6: Final answer
    x = 199,509.79

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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.