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Finding the Third Proportional to 94,147 and 143,426

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Solution

The third proportional to 94,147 and 143,426 is: 218,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,147 : 143,426 = 143,426 : x
  2. Step 2: Convert to fraction form
    94,147/143,426 = 143,426/x
  3. Step 3: Cross multiply
    94,147x = 143,426 × 143,426
  4. Step 4: Simplify right side
    94,147x = 20,571,017,476
  5. Step 5: Solve for x
    x = 20,571,017,476/94,147
  6. Step 6: Final answer
    x = 218,498.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.