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Finding the Third Proportional to 48,440 and 107,878

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Solution

The third proportional to 48,440 and 107,878 is: 240,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,440 : 107,878 = 107,878 : x
  2. Step 2: Convert to fraction form
    48,440/107,878 = 107,878/x
  3. Step 3: Cross multiply
    48,440x = 107,878 × 107,878
  4. Step 4: Simplify right side
    48,440x = 11,637,662,884
  5. Step 5: Solve for x
    x = 11,637,662,884/48,440
  6. Step 6: Final answer
    x = 240,249.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.