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Finding the Third Proportional to 88,756 and 195,364

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Solution

The third proportional to 88,756 and 195,364 is: 430,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,756 : 195,364 = 195,364 : x
  2. Step 2: Convert to fraction form
    88,756/195,364 = 195,364/x
  3. Step 3: Cross multiply
    88,756x = 195,364 × 195,364
  4. Step 4: Simplify right side
    88,756x = 38,167,092,496
  5. Step 5: Solve for x
    x = 38,167,092,496/88,756
  6. Step 6: Final answer
    x = 430,022.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.