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Finding the Third Proportional to 121,851 and 188,307

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Solution

The third proportional to 121,851 and 188,307 is: 291,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,851 : 188,307 = 188,307 : x
  2. Step 2: Convert to fraction form
    121,851/188,307 = 188,307/x
  3. Step 3: Cross multiply
    121,851x = 188,307 × 188,307
  4. Step 4: Simplify right side
    121,851x = 35,459,526,249
  5. Step 5: Solve for x
    x = 35,459,526,249/121,851
  6. Step 6: Final answer
    x = 291,007.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.