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Finding the Third Proportional to 77,686 and 169,211.50

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Solution

The third proportional to 77,686 and 169,211.50 is: 368,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,686 : 169,211.50 = 169,211.50 : x
  2. Step 2: Convert to fraction form
    77,686/169,211.50 = 169,211.50/x
  3. Step 3: Cross multiply
    77,686x = 169,211.50 × 169,211.50
  4. Step 4: Simplify right side
    77,686x = 28,632,531,732.25
  5. Step 5: Solve for x
    x = 28,632,531,732.25/77,686
  6. Step 6: Final answer
    x = 368,567.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.