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Finding the Third Proportional to 41,553 and 85,556.25

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Solution

The third proportional to 41,553 and 85,556.25 is: 176,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,553 : 85,556.25 = 85,556.25 : x
  2. Step 2: Convert to fraction form
    41,553/85,556.25 = 85,556.25/x
  3. Step 3: Cross multiply
    41,553x = 85,556.25 × 85,556.25
  4. Step 4: Simplify right side
    41,553x = 7,319,871,914.06
  5. Step 5: Solve for x
    x = 7,319,871,914.06/41,553
  6. Step 6: Final answer
    x = 176,157.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.