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Finding the Third Proportional to 69,018 and 97,167

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Solution

The third proportional to 69,018 and 97,167 is: 136,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,018 : 97,167 = 97,167 : x
  2. Step 2: Convert to fraction form
    69,018/97,167 = 97,167/x
  3. Step 3: Cross multiply
    69,018x = 97,167 × 97,167
  4. Step 4: Simplify right side
    69,018x = 9,441,425,889
  5. Step 5: Solve for x
    x = 9,441,425,889/69,018
  6. Step 6: Final answer
    x = 136,796.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.