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Finding the Third Proportional to 48,015 and 103,138

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Solution

The third proportional to 48,015 and 103,138 is: 221,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,015 : 103,138 = 103,138 : x
  2. Step 2: Convert to fraction form
    48,015/103,138 = 103,138/x
  3. Step 3: Cross multiply
    48,015x = 103,138 × 103,138
  4. Step 4: Simplify right side
    48,015x = 10,637,447,044
  5. Step 5: Solve for x
    x = 10,637,447,044/48,015
  6. Step 6: Final answer
    x = 221,544.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.