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Finding the Third Proportional to 88,056 and 179,176

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Solution

The third proportional to 88,056 and 179,176 is: 364,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,056 : 179,176 = 179,176 : x
  2. Step 2: Convert to fraction form
    88,056/179,176 = 179,176/x
  3. Step 3: Cross multiply
    88,056x = 179,176 × 179,176
  4. Step 4: Simplify right side
    88,056x = 32,104,038,976
  5. Step 5: Solve for x
    x = 32,104,038,976/88,056
  6. Step 6: Final answer
    x = 364,586.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.