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Finding the Third Proportional to 79,322 and 105,747

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Solution

The third proportional to 79,322 and 105,747 is: 140,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,322 : 105,747 = 105,747 : x
  2. Step 2: Convert to fraction form
    79,322/105,747 = 105,747/x
  3. Step 3: Cross multiply
    79,322x = 105,747 × 105,747
  4. Step 4: Simplify right side
    79,322x = 11,182,428,009
  5. Step 5: Solve for x
    x = 11,182,428,009/79,322
  6. Step 6: Final answer
    x = 140,975.11

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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.