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Finding the Third Proportional to 75,091 and 104,982

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Solution

The third proportional to 75,091 and 104,982 is: 146,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,091 : 104,982 = 104,982 : x
  2. Step 2: Convert to fraction form
    75,091/104,982 = 104,982/x
  3. Step 3: Cross multiply
    75,091x = 104,982 × 104,982
  4. Step 4: Simplify right side
    75,091x = 11,021,220,324
  5. Step 5: Solve for x
    x = 11,021,220,324/75,091
  6. Step 6: Final answer
    x = 146,771.52

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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.