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Finding the Third Proportional to 42,692 and 68,594

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Solution

The third proportional to 42,692 and 68,594 is: 110,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,692 : 68,594 = 68,594 : x
  2. Step 2: Convert to fraction form
    42,692/68,594 = 68,594/x
  3. Step 3: Cross multiply
    42,692x = 68,594 × 68,594
  4. Step 4: Simplify right side
    42,692x = 4,705,136,836
  5. Step 5: Solve for x
    x = 4,705,136,836/42,692
  6. Step 6: Final answer
    x = 110,211.21

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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.