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Finding the Third Proportional to 75,097 and 104,991

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Solution

The third proportional to 75,097 and 104,991 is: 146,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,097 : 104,991 = 104,991 : x
  2. Step 2: Convert to fraction form
    75,097/104,991 = 104,991/x
  3. Step 3: Cross multiply
    75,097x = 104,991 × 104,991
  4. Step 4: Simplify right side
    75,097x = 11,023,110,081
  5. Step 5: Solve for x
    x = 11,023,110,081/75,097
  6. Step 6: Final answer
    x = 146,784.96

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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.