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Finding the Third Proportional to 88,652 and 189,760

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Solution

The third proportional to 88,652 and 189,760 is: 406,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,652 : 189,760 = 189,760 : x
  2. Step 2: Convert to fraction form
    88,652/189,760 = 189,760/x
  3. Step 3: Cross multiply
    88,652x = 189,760 × 189,760
  4. Step 4: Simplify right side
    88,652x = 36,008,857,600
  5. Step 5: Solve for x
    x = 36,008,857,600/88,652
  6. Step 6: Final answer
    x = 406,182.12

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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.