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Finding the Third Proportional to 135,642.94 and 289,969.03

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Solution

The third proportional to 135,642.94 and 289,969.03 is: 619,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.94 : 289,969.03 = 289,969.03 : x
  2. Step 2: Convert to fraction form
    135,642.94/289,969.03 = 289,969.03/x
  3. Step 3: Cross multiply
    135,642.94x = 289,969.03 × 289,969.03
  4. Step 4: Simplify right side
    135,642.94x = 84,082,039,084.06
  5. Step 5: Solve for x
    x = 84,082,039,084.06/135,642.94
  6. Step 6: Final answer
    x = 619,877.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.