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Finding the Third Proportional to 45,069 and 104,332.50

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Solution

The third proportional to 45,069 and 104,332.50 is: 241,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,069 : 104,332.50 = 104,332.50 : x
  2. Step 2: Convert to fraction form
    45,069/104,332.50 = 104,332.50/x
  3. Step 3: Cross multiply
    45,069x = 104,332.50 × 104,332.50
  4. Step 4: Simplify right side
    45,069x = 10,885,270,556.25
  5. Step 5: Solve for x
    x = 10,885,270,556.25/45,069
  6. Step 6: Final answer
    x = 241,524.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.