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Finding the Third Proportional to 56,702.75 and 83,413.75

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Solution

The third proportional to 56,702.75 and 83,413.75 is: 122,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702.75 : 83,413.75 = 83,413.75 : x
  2. Step 2: Convert to fraction form
    56,702.75/83,413.75 = 83,413.75/x
  3. Step 3: Cross multiply
    56,702.75x = 83,413.75 × 83,413.75
  4. Step 4: Simplify right side
    56,702.75x = 6,957,853,689.06
  5. Step 5: Solve for x
    x = 6,957,853,689.06/56,702.75
  6. Step 6: Final answer
    x = 122,707.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.