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Finding the Third Proportional to 82,267.50 and 124,413.75

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Solution

The third proportional to 82,267.50 and 124,413.75 is: 188,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,267.50 : 124,413.75 = 124,413.75 : x
  2. Step 2: Convert to fraction form
    82,267.50/124,413.75 = 124,413.75/x
  3. Step 3: Cross multiply
    82,267.50x = 124,413.75 × 124,413.75
  4. Step 4: Simplify right side
    82,267.50x = 15,478,781,189.06
  5. Step 5: Solve for x
    x = 15,478,781,189.06/82,267.50
  6. Step 6: Final answer
    x = 188,151.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.