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Finding the Third Proportional to 91,149 and 137,982.75

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Solution

The third proportional to 91,149 and 137,982.75 is: 208,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,149 : 137,982.75 = 137,982.75 : x
  2. Step 2: Convert to fraction form
    91,149/137,982.75 = 137,982.75/x
  3. Step 3: Cross multiply
    91,149x = 137,982.75 × 137,982.75
  4. Step 4: Simplify right side
    91,149x = 19,039,239,297.56
  5. Step 5: Solve for x
    x = 19,039,239,297.56/91,149
  6. Step 6: Final answer
    x = 208,880.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.