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Finding the Third Proportional to 104,535 and 140,460.75

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Solution

The third proportional to 104,535 and 140,460.75 is: 188,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,535 : 140,460.75 = 140,460.75 : x
  2. Step 2: Convert to fraction form
    104,535/140,460.75 = 140,460.75/x
  3. Step 3: Cross multiply
    104,535x = 140,460.75 × 140,460.75
  4. Step 4: Simplify right side
    104,535x = 19,729,222,290.56
  5. Step 5: Solve for x
    x = 19,729,222,290.56/104,535
  6. Step 6: Final answer
    x = 188,733.17

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.