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Finding the Third Proportional to 55,413.75 and 83,097.75

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Solution

The third proportional to 55,413.75 and 83,097.75 is: 124,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,413.75 : 83,097.75 = 83,097.75 : x
  2. Step 2: Convert to fraction form
    55,413.75/83,097.75 = 83,097.75/x
  3. Step 3: Cross multiply
    55,413.75x = 83,097.75 × 83,097.75
  4. Step 4: Simplify right side
    55,413.75x = 6,905,236,055.06
  5. Step 5: Solve for x
    x = 6,905,236,055.06/55,413.75
  6. Step 6: Final answer
    x = 124,612.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.