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Finding the Third Proportional to 79,315 and 105,741

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Solution

The third proportional to 79,315 and 105,741 is: 140,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,315 : 105,741 = 105,741 : x
  2. Step 2: Convert to fraction form
    79,315/105,741 = 105,741/x
  3. Step 3: Cross multiply
    79,315x = 105,741 × 105,741
  4. Step 4: Simplify right side
    79,315x = 11,181,159,081
  5. Step 5: Solve for x
    x = 11,181,159,081/79,315
  6. Step 6: Final answer
    x = 140,971.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.