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Finding the Third Proportional to 43,003 and 101,187

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Solution

The third proportional to 43,003 and 101,187 is: 238,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,003 : 101,187 = 101,187 : x
  2. Step 2: Convert to fraction form
    43,003/101,187 = 101,187/x
  3. Step 3: Cross multiply
    43,003x = 101,187 × 101,187
  4. Step 4: Simplify right side
    43,003x = 10,238,808,969
  5. Step 5: Solve for x
    x = 10,238,808,969/43,003
  6. Step 6: Final answer
    x = 238,095.23

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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.