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Finding the Third Proportional to 60,227 and 93,677

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Solution

The third proportional to 60,227 and 93,677 is: 145,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,227 : 93,677 = 93,677 : x
  2. Step 2: Convert to fraction form
    60,227/93,677 = 93,677/x
  3. Step 3: Cross multiply
    60,227x = 93,677 × 93,677
  4. Step 4: Simplify right side
    60,227x = 8,775,380,329
  5. Step 5: Solve for x
    x = 8,775,380,329/60,227
  6. Step 6: Final answer
    x = 145,705.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.