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Finding the Third Proportional to 85,914 and 126,045

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Solution

The third proportional to 85,914 and 126,045 is: 184,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,914 : 126,045 = 126,045 : x
  2. Step 2: Convert to fraction form
    85,914/126,045 = 126,045/x
  3. Step 3: Cross multiply
    85,914x = 126,045 × 126,045
  4. Step 4: Simplify right side
    85,914x = 15,887,342,025
  5. Step 5: Solve for x
    x = 15,887,342,025/85,914
  6. Step 6: Final answer
    x = 184,921.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.