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Finding the Third Proportional to 103,413.75 and 158,127.75

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Solution

The third proportional to 103,413.75 and 158,127.75 is: 241,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413.75 : 158,127.75 = 158,127.75 : x
  2. Step 2: Convert to fraction form
    103,413.75/158,127.75 = 158,127.75/x
  3. Step 3: Cross multiply
    103,413.75x = 158,127.75 × 158,127.75
  4. Step 4: Simplify right side
    103,413.75x = 25,004,385,320.06
  5. Step 5: Solve for x
    x = 25,004,385,320.06/103,413.75
  6. Step 6: Final answer
    x = 241,789.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.