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Finding the Third Proportional to 49,476 and 109,320

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Solution

The third proportional to 49,476 and 109,320 is: 241,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476 : 109,320 = 109,320 : x
  2. Step 2: Convert to fraction form
    49,476/109,320 = 109,320/x
  3. Step 3: Cross multiply
    49,476x = 109,320 × 109,320
  4. Step 4: Simplify right side
    49,476x = 11,950,862,400
  5. Step 5: Solve for x
    x = 11,950,862,400/49,476
  6. Step 6: Final answer
    x = 241,548.68

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.