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Finding the Third Proportional to 82,796 and 131,196

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Solution

The third proportional to 82,796 and 131,196 is: 207,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,796 : 131,196 = 131,196 : x
  2. Step 2: Convert to fraction form
    82,796/131,196 = 131,196/x
  3. Step 3: Cross multiply
    82,796x = 131,196 × 131,196
  4. Step 4: Simplify right side
    82,796x = 17,212,390,416
  5. Step 5: Solve for x
    x = 17,212,390,416/82,796
  6. Step 6: Final answer
    x = 207,889.15

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.