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Finding the Third Proportional to 88,629 and 189,713

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Solution

The third proportional to 88,629 and 189,713 is: 406,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,629 : 189,713 = 189,713 : x
  2. Step 2: Convert to fraction form
    88,629/189,713 = 189,713/x
  3. Step 3: Cross multiply
    88,629x = 189,713 × 189,713
  4. Step 4: Simplify right side
    88,629x = 35,991,022,369
  5. Step 5: Solve for x
    x = 35,991,022,369/88,629
  6. Step 6: Final answer
    x = 406,086.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.