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Finding the Third Proportional to 48,154 and 103,923

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Solution

The third proportional to 48,154 and 103,923 is: 224,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,154 : 103,923 = 103,923 : x
  2. Step 2: Convert to fraction form
    48,154/103,923 = 103,923/x
  3. Step 3: Cross multiply
    48,154x = 103,923 × 103,923
  4. Step 4: Simplify right side
    48,154x = 10,799,989,929
  5. Step 5: Solve for x
    x = 10,799,989,929/48,154
  6. Step 6: Final answer
    x = 224,280.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.