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Finding the Third Proportional to 94,158 and 144,243

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Solution

The third proportional to 94,158 and 144,243 is: 220,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,158 : 144,243 = 144,243 : x
  2. Step 2: Convert to fraction form
    94,158/144,243 = 144,243/x
  3. Step 3: Cross multiply
    94,158x = 144,243 × 144,243
  4. Step 4: Simplify right side
    94,158x = 20,806,043,049
  5. Step 5: Solve for x
    x = 20,806,043,049/94,158
  6. Step 6: Final answer
    x = 220,969.47

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