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Finding the Third Proportional to 82,795 and 131,159

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Solution

The third proportional to 82,795 and 131,159 is: 207,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,795 : 131,159 = 131,159 : x
  2. Step 2: Convert to fraction form
    82,795/131,159 = 131,159/x
  3. Step 3: Cross multiply
    82,795x = 131,159 × 131,159
  4. Step 4: Simplify right side
    82,795x = 17,202,683,281
  5. Step 5: Solve for x
    x = 17,202,683,281/82,795
  6. Step 6: Final answer
    x = 207,774.42

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Why These Related Problems?

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