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Finding the Third Proportional to 52,316.50 and 114,413.50

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Solution

The third proportional to 52,316.50 and 114,413.50 is: 250,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,316.50 : 114,413.50 = 114,413.50 : x
  2. Step 2: Convert to fraction form
    52,316.50/114,413.50 = 114,413.50/x
  3. Step 3: Cross multiply
    52,316.50x = 114,413.50 × 114,413.50
  4. Step 4: Simplify right side
    52,316.50x = 13,090,448,982.25
  5. Step 5: Solve for x
    x = 13,090,448,982.25/52,316.50
  6. Step 6: Final answer
    x = 250,216.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.