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Finding the Third Proportional to 88,176 and 195,970

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Solution

The third proportional to 88,176 and 195,970 is: 435,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,176 : 195,970 = 195,970 : x
  2. Step 2: Convert to fraction form
    88,176/195,970 = 195,970/x
  3. Step 3: Cross multiply
    88,176x = 195,970 × 195,970
  4. Step 4: Simplify right side
    88,176x = 38,404,240,900
  5. Step 5: Solve for x
    x = 38,404,240,900/88,176
  6. Step 6: Final answer
    x = 435,540.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.