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Finding the Third Proportional to 109,361 and 158,047

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Solution

The third proportional to 109,361 and 158,047 is: 228,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,361 : 158,047 = 158,047 : x
  2. Step 2: Convert to fraction form
    109,361/158,047 = 158,047/x
  3. Step 3: Cross multiply
    109,361x = 158,047 × 158,047
  4. Step 4: Simplify right side
    109,361x = 24,978,854,209
  5. Step 5: Solve for x
    x = 24,978,854,209/109,361
  6. Step 6: Final answer
    x = 228,407.33

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.