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Finding the Third Proportional to 82,146 and 117,467

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Solution

The third proportional to 82,146 and 117,467 is: 167,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,146 : 117,467 = 117,467 : x
  2. Step 2: Convert to fraction form
    82,146/117,467 = 117,467/x
  3. Step 3: Cross multiply
    82,146x = 117,467 × 117,467
  4. Step 4: Simplify right side
    82,146x = 13,798,496,089
  5. Step 5: Solve for x
    x = 13,798,496,089/82,146
  6. Step 6: Final answer
    x = 167,975.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.