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Finding the Third Proportional to 58,007 and 122,878

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Solution

The third proportional to 58,007 and 122,878 is: 260,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,007 : 122,878 = 122,878 : x
  2. Step 2: Convert to fraction form
    58,007/122,878 = 122,878/x
  3. Step 3: Cross multiply
    58,007x = 122,878 × 122,878
  4. Step 4: Simplify right side
    58,007x = 15,099,002,884
  5. Step 5: Solve for x
    x = 15,099,002,884/58,007
  6. Step 6: Final answer
    x = 260,296.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.