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Finding the Third Proportional to 66,684.75 and 157,413.38

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Solution

The third proportional to 66,684.75 and 157,413.38 is: 371,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,684.75 : 157,413.38 = 157,413.38 : x
  2. Step 2: Convert to fraction form
    66,684.75/157,413.38 = 157,413.38/x
  3. Step 3: Cross multiply
    66,684.75x = 157,413.38 × 157,413.38
  4. Step 4: Simplify right side
    66,684.75x = 24,778,970,628.89
  5. Step 5: Solve for x
    x = 24,778,970,628.89/66,684.75
  6. Step 6: Final answer
    x = 371,583.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.