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Finding the Third Proportional to 116,872 and 167,127

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Solution

The third proportional to 116,872 and 167,127 is: 238,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,872 : 167,127 = 167,127 : x
  2. Step 2: Convert to fraction form
    116,872/167,127 = 167,127/x
  3. Step 3: Cross multiply
    116,872x = 167,127 × 167,127
  4. Step 4: Simplify right side
    116,872x = 27,931,434,129
  5. Step 5: Solve for x
    x = 27,931,434,129/116,872
  6. Step 6: Final answer
    x = 238,991.67

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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.