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Finding the Third Proportional to 48,089 and 105,223

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Solution

The third proportional to 48,089 and 105,223 is: 230,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,089 : 105,223 = 105,223 : x
  2. Step 2: Convert to fraction form
    48,089/105,223 = 105,223/x
  3. Step 3: Cross multiply
    48,089x = 105,223 × 105,223
  4. Step 4: Simplify right side
    48,089x = 11,071,879,729
  5. Step 5: Solve for x
    x = 11,071,879,729/48,089
  6. Step 6: Final answer
    x = 230,237.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.