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Finding the Third Proportional to 59,413.50 and 126,106.88

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Solution

The third proportional to 59,413.50 and 126,106.88 is: 267,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,413.50 : 126,106.88 = 126,106.88 : x
  2. Step 2: Convert to fraction form
    59,413.50/126,106.88 = 126,106.88/x
  3. Step 3: Cross multiply
    59,413.50x = 126,106.88 × 126,106.88
  4. Step 4: Simplify right side
    59,413.50x = 15,902,943,922.27
  5. Step 5: Solve for x
    x = 15,902,943,922.27/59,413.50
  6. Step 6: Final answer
    x = 267,665.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.