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Finding the Third Proportional to 119,734 and 174,336

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Solution

The third proportional to 119,734 and 174,336 is: 253,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,734 : 174,336 = 174,336 : x
  2. Step 2: Convert to fraction form
    119,734/174,336 = 174,336/x
  3. Step 3: Cross multiply
    119,734x = 174,336 × 174,336
  4. Step 4: Simplify right side
    119,734x = 30,393,040,896
  5. Step 5: Solve for x
    x = 30,393,040,896/119,734
  6. Step 6: Final answer
    x = 253,838.02

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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.