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Finding the Third Proportional to 49,776 and 109,392

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Solution

The third proportional to 49,776 and 109,392 is: 240,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,776 : 109,392 = 109,392 : x
  2. Step 2: Convert to fraction form
    49,776/109,392 = 109,392/x
  3. Step 3: Cross multiply
    49,776x = 109,392 × 109,392
  4. Step 4: Simplify right side
    49,776x = 11,966,609,664
  5. Step 5: Solve for x
    x = 11,966,609,664/49,776
  6. Step 6: Final answer
    x = 240,409.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.