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Finding the Third Proportional to 75,477.50 and 159,945.50

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Solution

The third proportional to 75,477.50 and 159,945.50 is: 338,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,477.50 : 159,945.50 = 159,945.50 : x
  2. Step 2: Convert to fraction form
    75,477.50/159,945.50 = 159,945.50/x
  3. Step 3: Cross multiply
    75,477.50x = 159,945.50 × 159,945.50
  4. Step 4: Simplify right side
    75,477.50x = 25,582,562,970.25
  5. Step 5: Solve for x
    x = 25,582,562,970.25/75,477.50
  6. Step 6: Final answer
    x = 338,942.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.