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Finding the Third Proportional to 50,169 and 77,724

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Solution

The third proportional to 50,169 and 77,724 is: 120,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,169 : 77,724 = 77,724 : x
  2. Step 2: Convert to fraction form
    50,169/77,724 = 77,724/x
  3. Step 3: Cross multiply
    50,169x = 77,724 × 77,724
  4. Step 4: Simplify right side
    50,169x = 6,041,020,176
  5. Step 5: Solve for x
    x = 6,041,020,176/50,169
  6. Step 6: Final answer
    x = 120,413.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.