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Finding the Third Proportional to 43,206 and 103,046

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Solution

The third proportional to 43,206 and 103,046 is: 245,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,206 : 103,046 = 103,046 : x
  2. Step 2: Convert to fraction form
    43,206/103,046 = 103,046/x
  3. Step 3: Cross multiply
    43,206x = 103,046 × 103,046
  4. Step 4: Simplify right side
    43,206x = 10,618,478,116
  5. Step 5: Solve for x
    x = 10,618,478,116/43,206
  6. Step 6: Final answer
    x = 245,763.97

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.