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Finding the Third Proportional to 65,379 and 141,594

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Solution

The third proportional to 65,379 and 141,594 is: 306,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,379 : 141,594 = 141,594 : x
  2. Step 2: Convert to fraction form
    65,379/141,594 = 141,594/x
  3. Step 3: Cross multiply
    65,379x = 141,594 × 141,594
  4. Step 4: Simplify right side
    65,379x = 20,048,860,836
  5. Step 5: Solve for x
    x = 20,048,860,836/65,379
  6. Step 6: Final answer
    x = 306,655.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.