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Finding the Third Proportional to 88,038 and 189,766

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Solution

The third proportional to 88,038 and 189,766 is: 409,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,038 : 189,766 = 189,766 : x
  2. Step 2: Convert to fraction form
    88,038/189,766 = 189,766/x
  3. Step 3: Cross multiply
    88,038x = 189,766 × 189,766
  4. Step 4: Simplify right side
    88,038x = 36,011,134,756
  5. Step 5: Solve for x
    x = 36,011,134,756/88,038
  6. Step 6: Final answer
    x = 409,040.81

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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.