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Finding the Third Proportional to 76,413.38 and 165,955.13

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Solution

The third proportional to 76,413.38 and 165,955.13 is: 360,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,413.38 : 165,955.13 = 165,955.13 : x
  2. Step 2: Convert to fraction form
    76,413.38/165,955.13 = 165,955.13/x
  3. Step 3: Cross multiply
    76,413.38x = 165,955.13 × 165,955.13
  4. Step 4: Simplify right side
    76,413.38x = 27,541,103,513.77
  5. Step 5: Solve for x
    x = 27,541,103,513.77/76,413.38
  6. Step 6: Final answer
    x = 360,422.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.