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Finding the Third Proportional to 48,190 and 116,089

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Solution

The third proportional to 48,190 and 116,089 is: 279,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,190 : 116,089 = 116,089 : x
  2. Step 2: Convert to fraction form
    48,190/116,089 = 116,089/x
  3. Step 3: Cross multiply
    48,190x = 116,089 × 116,089
  4. Step 4: Simplify right side
    48,190x = 13,476,655,921
  5. Step 5: Solve for x
    x = 13,476,655,921/48,190
  6. Step 6: Final answer
    x = 279,656.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.