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Finding the Third Proportional to 117,569 and 177,413.50

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Solution

The third proportional to 117,569 and 177,413.50 is: 267,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,569 : 177,413.50 = 177,413.50 : x
  2. Step 2: Convert to fraction form
    117,569/177,413.50 = 177,413.50/x
  3. Step 3: Cross multiply
    117,569x = 177,413.50 × 177,413.50
  4. Step 4: Simplify right side
    117,569x = 31,475,549,982.25
  5. Step 5: Solve for x
    x = 31,475,549,982.25/117,569
  6. Step 6: Final answer
    x = 267,719.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.