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Finding the Third Proportional to 56,413.13 and 120,136.50

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Solution

The third proportional to 56,413.13 and 120,136.50 is: 255,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,413.13 : 120,136.50 = 120,136.50 : x
  2. Step 2: Convert to fraction form
    56,413.13/120,136.50 = 120,136.50/x
  3. Step 3: Cross multiply
    56,413.13x = 120,136.50 × 120,136.50
  4. Step 4: Simplify right side
    56,413.13x = 14,432,778,632.25
  5. Step 5: Solve for x
    x = 14,432,778,632.25/56,413.13
  6. Step 6: Final answer
    x = 255,840.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.