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Finding the Third Proportional to 73,621 and 116,760

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Solution

The third proportional to 73,621 and 116,760 is: 185,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,621 : 116,760 = 116,760 : x
  2. Step 2: Convert to fraction form
    73,621/116,760 = 116,760/x
  3. Step 3: Cross multiply
    73,621x = 116,760 × 116,760
  4. Step 4: Simplify right side
    73,621x = 13,632,897,600
  5. Step 5: Solve for x
    x = 13,632,897,600/73,621
  6. Step 6: Final answer
    x = 185,176.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.