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Finding the Third Proportional to 69,413.63 and 108,010.13

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Solution

The third proportional to 69,413.63 and 108,010.13 is: 168,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,413.63 : 108,010.13 = 108,010.13 : x
  2. Step 2: Convert to fraction form
    69,413.63/108,010.13 = 108,010.13/x
  3. Step 3: Cross multiply
    69,413.63x = 108,010.13 × 108,010.13
  4. Step 4: Simplify right side
    69,413.63x = 11,666,187,102.52
  5. Step 5: Solve for x
    x = 11,666,187,102.52/69,413.63
  6. Step 6: Final answer
    x = 168,067.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.