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Finding the Third Proportional to 85,412 and 125,910

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Solution

The third proportional to 85,412 and 125,910 is: 185,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,412 : 125,910 = 125,910 : x
  2. Step 2: Convert to fraction form
    85,412/125,910 = 125,910/x
  3. Step 3: Cross multiply
    85,412x = 125,910 × 125,910
  4. Step 4: Simplify right side
    85,412x = 15,853,328,100
  5. Step 5: Solve for x
    x = 15,853,328,100/85,412
  6. Step 6: Final answer
    x = 185,610.08

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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.