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Finding the Third Proportional to 75,094 and 104,986

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Solution

The third proportional to 75,094 and 104,986 is: 146,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,094 : 104,986 = 104,986 : x
  2. Step 2: Convert to fraction form
    75,094/104,986 = 104,986/x
  3. Step 3: Cross multiply
    75,094x = 104,986 × 104,986
  4. Step 4: Simplify right side
    75,094x = 11,022,060,196
  5. Step 5: Solve for x
    x = 11,022,060,196/75,094
  6. Step 6: Final answer
    x = 146,776.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.