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Finding the Third Proportional to 74,054.25 and 108,310.50

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Solution

The third proportional to 74,054.25 and 108,310.50 is: 158,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,054.25 : 108,310.50 = 108,310.50 : x
  2. Step 2: Convert to fraction form
    74,054.25/108,310.50 = 108,310.50/x
  3. Step 3: Cross multiply
    74,054.25x = 108,310.50 × 108,310.50
  4. Step 4: Simplify right side
    74,054.25x = 11,731,164,410.25
  5. Step 5: Solve for x
    x = 11,731,164,410.25/74,054.25
  6. Step 6: Final answer
    x = 158,413.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.