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Finding the Third Proportional to 135,465.75 and 201,237.75

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Solution

The third proportional to 135,465.75 and 201,237.75 is: 298,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,465.75 : 201,237.75 = 201,237.75 : x
  2. Step 2: Convert to fraction form
    135,465.75/201,237.75 = 201,237.75/x
  3. Step 3: Cross multiply
    135,465.75x = 201,237.75 × 201,237.75
  4. Step 4: Simplify right side
    135,465.75x = 40,496,632,025.06
  5. Step 5: Solve for x
    x = 40,496,632,025.06/135,465.75
  6. Step 6: Final answer
    x = 298,943.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.