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Finding the Third Proportional to 86,413.50 and 133,308

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Solution

The third proportional to 86,413.50 and 133,308 is: 205,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,413.50 : 133,308 = 133,308 : x
  2. Step 2: Convert to fraction form
    86,413.50/133,308 = 133,308/x
  3. Step 3: Cross multiply
    86,413.50x = 133,308 × 133,308
  4. Step 4: Simplify right side
    86,413.50x = 17,771,022,864
  5. Step 5: Solve for x
    x = 17,771,022,864/86,413.50
  6. Step 6: Final answer
    x = 205,651.00

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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.