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Finding the Third Proportional to 101,354 and 158,993.75

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Solution

The third proportional to 101,354 and 158,993.75 is: 249,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,354 : 158,993.75 = 158,993.75 : x
  2. Step 2: Convert to fraction form
    101,354/158,993.75 = 158,993.75/x
  3. Step 3: Cross multiply
    101,354x = 158,993.75 × 158,993.75
  4. Step 4: Simplify right side
    101,354x = 25,279,012,539.06
  5. Step 5: Solve for x
    x = 25,279,012,539.06/101,354
  6. Step 6: Final answer
    x = 249,413.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.