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Finding the Third Proportional to 42,693 and 68,595

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Solution

The third proportional to 42,693 and 68,595 is: 110,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,693 : 68,595 = 68,595 : x
  2. Step 2: Convert to fraction form
    42,693/68,595 = 68,595/x
  3. Step 3: Cross multiply
    42,693x = 68,595 × 68,595
  4. Step 4: Simplify right side
    42,693x = 4,705,274,025
  5. Step 5: Solve for x
    x = 4,705,274,025/42,693
  6. Step 6: Final answer
    x = 110,211.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.