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Finding the Third Proportional to 115,194 and 171,900

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Solution

The third proportional to 115,194 and 171,900 is: 256,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,194 : 171,900 = 171,900 : x
  2. Step 2: Convert to fraction form
    115,194/171,900 = 171,900/x
  3. Step 3: Cross multiply
    115,194x = 171,900 × 171,900
  4. Step 4: Simplify right side
    115,194x = 29,549,610,000
  5. Step 5: Solve for x
    x = 29,549,610,000/115,194
  6. Step 6: Final answer
    x = 256,520.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.