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Finding the Third Proportional to 53,413.13 and 79,296.19

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Solution

The third proportional to 53,413.13 and 79,296.19 is: 117,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413.13 : 79,296.19 = 79,296.19 : x
  2. Step 2: Convert to fraction form
    53,413.13/79,296.19 = 79,296.19/x
  3. Step 3: Cross multiply
    53,413.13x = 79,296.19 × 79,296.19
  4. Step 4: Simplify right side
    53,413.13x = 6,287,885,352.04
  5. Step 5: Solve for x
    x = 6,287,885,352.04/53,413.13
  6. Step 6: Final answer
    x = 117,721.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.