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Finding the Third Proportional to 88,035 and 189,759

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Solution

The third proportional to 88,035 and 189,759 is: 409,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,035 : 189,759 = 189,759 : x
  2. Step 2: Convert to fraction form
    88,035/189,759 = 189,759/x
  3. Step 3: Cross multiply
    88,035x = 189,759 × 189,759
  4. Step 4: Simplify right side
    88,035x = 36,008,478,081
  5. Step 5: Solve for x
    x = 36,008,478,081/88,035
  6. Step 6: Final answer
    x = 409,024.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.