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Finding the Third Proportional to 75,104 and 140,746

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Solution

The third proportional to 75,104 and 140,746 is: 263,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104 : 140,746 = 140,746 : x
  2. Step 2: Convert to fraction form
    75,104/140,746 = 140,746/x
  3. Step 3: Cross multiply
    75,104x = 140,746 × 140,746
  4. Step 4: Simplify right side
    75,104x = 19,809,436,516
  5. Step 5: Solve for x
    x = 19,809,436,516/75,104
  6. Step 6: Final answer
    x = 263,760.07

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.