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Finding the Third Proportional to 73,143 and 109,236

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Solution

The third proportional to 73,143 and 109,236 is: 163,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,143 : 109,236 = 109,236 : x
  2. Step 2: Convert to fraction form
    73,143/109,236 = 109,236/x
  3. Step 3: Cross multiply
    73,143x = 109,236 × 109,236
  4. Step 4: Simplify right side
    73,143x = 11,932,503,696
  5. Step 5: Solve for x
    x = 11,932,503,696/73,143
  6. Step 6: Final answer
    x = 163,139.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.