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Finding the Third Proportional to 57,094 and 117,860

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Solution

The third proportional to 57,094 and 117,860 is: 243,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,094 : 117,860 = 117,860 : x
  2. Step 2: Convert to fraction form
    57,094/117,860 = 117,860/x
  3. Step 3: Cross multiply
    57,094x = 117,860 × 117,860
  4. Step 4: Simplify right side
    57,094x = 13,890,979,600
  5. Step 5: Solve for x
    x = 13,890,979,600/57,094
  6. Step 6: Final answer
    x = 243,300.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.