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Finding the Third Proportional to 49,158 and 75,660.75

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Solution

The third proportional to 49,158 and 75,660.75 is: 116,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,158 : 75,660.75 = 75,660.75 : x
  2. Step 2: Convert to fraction form
    49,158/75,660.75 = 75,660.75/x
  3. Step 3: Cross multiply
    49,158x = 75,660.75 × 75,660.75
  4. Step 4: Simplify right side
    49,158x = 5,724,549,090.56
  5. Step 5: Solve for x
    x = 5,724,549,090.56/49,158
  6. Step 6: Final answer
    x = 116,452.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.