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Finding the Third Proportional to 115,464 and 173,196

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Solution

The third proportional to 115,464 and 173,196 is: 259,794

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,464 : 173,196 = 173,196 : x
  2. Step 2: Convert to fraction form
    115,464/173,196 = 173,196/x
  3. Step 3: Cross multiply
    115,464x = 173,196 × 173,196
  4. Step 4: Simplify right side
    115,464x = 29,996,854,416
  5. Step 5: Solve for x
    x = 29,996,854,416/115,464
  6. Step 6: Final answer
    x = 259,794

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.