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Finding the Third Proportional to 77,957.44 and 169,902.56

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Solution

The third proportional to 77,957.44 and 169,902.56 is: 370,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,957.44 : 169,902.56 = 169,902.56 : x
  2. Step 2: Convert to fraction form
    77,957.44/169,902.56 = 169,902.56/x
  3. Step 3: Cross multiply
    77,957.44x = 169,902.56 × 169,902.56
  4. Step 4: Simplify right side
    77,957.44x = 28,866,880,744.07
  5. Step 5: Solve for x
    x = 28,866,880,744.07/77,957.44
  6. Step 6: Final answer
    x = 370,290.27

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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.