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Finding the Third Proportional to 135,045.75 and 290,106.75

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Solution

The third proportional to 135,045.75 and 290,106.75 is: 623,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,045.75 : 290,106.75 = 290,106.75 : x
  2. Step 2: Convert to fraction form
    135,045.75/290,106.75 = 290,106.75/x
  3. Step 3: Cross multiply
    135,045.75x = 290,106.75 × 290,106.75
  4. Step 4: Simplify right side
    135,045.75x = 84,161,926,395.56
  5. Step 5: Solve for x
    x = 84,161,926,395.56/135,045.75
  6. Step 6: Final answer
    x = 623,210.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.