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Finding the Third Proportional to 115,383 and 174,612

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Solution

The third proportional to 115,383 and 174,612 is: 264,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,383 : 174,612 = 174,612 : x
  2. Step 2: Convert to fraction form
    115,383/174,612 = 174,612/x
  3. Step 3: Cross multiply
    115,383x = 174,612 × 174,612
  4. Step 4: Simplify right side
    115,383x = 30,489,350,544
  5. Step 5: Solve for x
    x = 30,489,350,544/115,383
  6. Step 6: Final answer
    x = 264,244.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.