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Finding the Third Proportional to 72,376.50 and 159,477.25

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Solution

The third proportional to 72,376.50 and 159,477.25 is: 351,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,376.50 : 159,477.25 = 159,477.25 : x
  2. Step 2: Convert to fraction form
    72,376.50/159,477.25 = 159,477.25/x
  3. Step 3: Cross multiply
    72,376.50x = 159,477.25 × 159,477.25
  4. Step 4: Simplify right side
    72,376.50x = 25,432,993,267.56
  5. Step 5: Solve for x
    x = 25,432,993,267.56/72,376.50
  6. Step 6: Final answer
    x = 351,398.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.