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Finding the Third Proportional to 79,282 and 105,693

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Solution

The third proportional to 79,282 and 105,693 is: 140,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,282 : 105,693 = 105,693 : x
  2. Step 2: Convert to fraction form
    79,282/105,693 = 105,693/x
  3. Step 3: Cross multiply
    79,282x = 105,693 × 105,693
  4. Step 4: Simplify right side
    79,282x = 11,171,010,249
  5. Step 5: Solve for x
    x = 11,171,010,249/79,282
  6. Step 6: Final answer
    x = 140,902.23

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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.