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Finding the Third Proportional to 97,105 and 131,196

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Solution

The third proportional to 97,105 and 131,196 is: 177,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,105 : 131,196 = 131,196 : x
  2. Step 2: Convert to fraction form
    97,105/131,196 = 131,196/x
  3. Step 3: Cross multiply
    97,105x = 131,196 × 131,196
  4. Step 4: Simplify right side
    97,105x = 17,212,390,416
  5. Step 5: Solve for x
    x = 17,212,390,416/97,105
  6. Step 6: Final answer
    x = 177,255.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.