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Finding the Third Proportional to 43,005 and 101,186

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Solution

The third proportional to 43,005 and 101,186 is: 238,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,005 : 101,186 = 101,186 : x
  2. Step 2: Convert to fraction form
    43,005/101,186 = 101,186/x
  3. Step 3: Cross multiply
    43,005x = 101,186 × 101,186
  4. Step 4: Simplify right side
    43,005x = 10,238,606,596
  5. Step 5: Solve for x
    x = 10,238,606,596/43,005
  6. Step 6: Final answer
    x = 238,079.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.