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Finding the Third Proportional to 88,122 and 141,858

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Solution

The third proportional to 88,122 and 141,858 is: 228,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,122 : 141,858 = 141,858 : x
  2. Step 2: Convert to fraction form
    88,122/141,858 = 141,858/x
  3. Step 3: Cross multiply
    88,122x = 141,858 × 141,858
  4. Step 4: Simplify right side
    88,122x = 20,123,692,164
  5. Step 5: Solve for x
    x = 20,123,692,164/88,122
  6. Step 6: Final answer
    x = 228,361.73

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.