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Finding the Third Proportional to 79,419 and 123,021.75

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Solution

The third proportional to 79,419 and 123,021.75 is: 190,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,419 : 123,021.75 = 123,021.75 : x
  2. Step 2: Convert to fraction form
    79,419/123,021.75 = 123,021.75/x
  3. Step 3: Cross multiply
    79,419x = 123,021.75 × 123,021.75
  4. Step 4: Simplify right side
    79,419x = 15,134,350,973.06
  5. Step 5: Solve for x
    x = 15,134,350,973.06/79,419
  6. Step 6: Final answer
    x = 190,563.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.