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Finding the Third Proportional to 60,093 and 130,054

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Solution

The third proportional to 60,093 and 130,054 is: 281,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,093 : 130,054 = 130,054 : x
  2. Step 2: Convert to fraction form
    60,093/130,054 = 130,054/x
  3. Step 3: Cross multiply
    60,093x = 130,054 × 130,054
  4. Step 4: Simplify right side
    60,093x = 16,914,042,916
  5. Step 5: Solve for x
    x = 16,914,042,916/60,093
  6. Step 6: Final answer
    x = 281,464.45

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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.