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Finding the Third Proportional to 53,413.50 and 115,392.75

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Solution

The third proportional to 53,413.50 and 115,392.75 is: 249,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413.50 : 115,392.75 = 115,392.75 : x
  2. Step 2: Convert to fraction form
    53,413.50/115,392.75 = 115,392.75/x
  3. Step 3: Cross multiply
    53,413.50x = 115,392.75 × 115,392.75
  4. Step 4: Simplify right side
    53,413.50x = 13,315,486,752.56
  5. Step 5: Solve for x
    x = 13,315,486,752.56/53,413.50
  6. Step 6: Final answer
    x = 249,290.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.