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Finding the Third Proportional to 75,554 and 162,820

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Solution

The third proportional to 75,554 and 162,820 is: 350,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,554 : 162,820 = 162,820 : x
  2. Step 2: Convert to fraction form
    75,554/162,820 = 162,820/x
  3. Step 3: Cross multiply
    75,554x = 162,820 × 162,820
  4. Step 4: Simplify right side
    75,554x = 26,510,352,400
  5. Step 5: Solve for x
    x = 26,510,352,400/75,554
  6. Step 6: Final answer
    x = 350,879.54

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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.