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Finding the Third Proportional to 75,677 and 162,220

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Solution

The third proportional to 75,677 and 162,220 is: 347,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,677 : 162,220 = 162,220 : x
  2. Step 2: Convert to fraction form
    75,677/162,220 = 162,220/x
  3. Step 3: Cross multiply
    75,677x = 162,220 × 162,220
  4. Step 4: Simplify right side
    75,677x = 26,315,328,400
  5. Step 5: Solve for x
    x = 26,315,328,400/75,677
  6. Step 6: Final answer
    x = 347,732.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.