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Finding the Third Proportional to 73,795 and 113,447

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Solution

The third proportional to 73,795 and 113,447 is: 174,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,795 : 113,447 = 113,447 : x
  2. Step 2: Convert to fraction form
    73,795/113,447 = 113,447/x
  3. Step 3: Cross multiply
    73,795x = 113,447 × 113,447
  4. Step 4: Simplify right side
    73,795x = 12,870,221,809
  5. Step 5: Solve for x
    x = 12,870,221,809/73,795
  6. Step 6: Final answer
    x = 174,405.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.