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Finding the Third Proportional to 103,440 and 158,167

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Solution

The third proportional to 103,440 and 158,167 is: 241,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,440 : 158,167 = 158,167 : x
  2. Step 2: Convert to fraction form
    103,440/158,167 = 158,167/x
  3. Step 3: Cross multiply
    103,440x = 158,167 × 158,167
  4. Step 4: Simplify right side
    103,440x = 25,016,799,889
  5. Step 5: Solve for x
    x = 25,016,799,889/103,440
  6. Step 6: Final answer
    x = 241,848.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.