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Finding the Third Proportional to 40,133 and 85,447

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Solution

The third proportional to 40,133 and 85,447 is: 181,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,133 : 85,447 = 85,447 : x
  2. Step 2: Convert to fraction form
    40,133/85,447 = 85,447/x
  3. Step 3: Cross multiply
    40,133x = 85,447 × 85,447
  4. Step 4: Simplify right side
    40,133x = 7,301,189,809
  5. Step 5: Solve for x
    x = 7,301,189,809/40,133
  6. Step 6: Final answer
    x = 181,924.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.