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Finding the Third Proportional to 119,727 and 174,325

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Solution

The third proportional to 119,727 and 174,325 is: 253,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,727 : 174,325 = 174,325 : x
  2. Step 2: Convert to fraction form
    119,727/174,325 = 174,325/x
  3. Step 3: Cross multiply
    119,727x = 174,325 × 174,325
  4. Step 4: Simplify right side
    119,727x = 30,389,205,625
  5. Step 5: Solve for x
    x = 30,389,205,625/119,727
  6. Step 6: Final answer
    x = 253,820.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.