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Finding the Third Proportional to 49,334 and 108,510

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Solution

The third proportional to 49,334 and 108,510 is: 238,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,334 : 108,510 = 108,510 : x
  2. Step 2: Convert to fraction form
    49,334/108,510 = 108,510/x
  3. Step 3: Cross multiply
    49,334x = 108,510 × 108,510
  4. Step 4: Simplify right side
    49,334x = 11,774,420,100
  5. Step 5: Solve for x
    x = 11,774,420,100/49,334
  6. Step 6: Final answer
    x = 238,667.45

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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.