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Finding the Third Proportional to 72,782 and 159,097

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Solution

The third proportional to 72,782 and 159,097 is: 347,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,782 : 159,097 = 159,097 : x
  2. Step 2: Convert to fraction form
    72,782/159,097 = 159,097/x
  3. Step 3: Cross multiply
    72,782x = 159,097 × 159,097
  4. Step 4: Simplify right side
    72,782x = 25,311,855,409
  5. Step 5: Solve for x
    x = 25,311,855,409/72,782
  6. Step 6: Final answer
    x = 347,776.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.