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Finding the Third Proportional to 62,076 and 133,996

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Solution

The third proportional to 62,076 and 133,996 is: 289,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,076 : 133,996 = 133,996 : x
  2. Step 2: Convert to fraction form
    62,076/133,996 = 133,996/x
  3. Step 3: Cross multiply
    62,076x = 133,996 × 133,996
  4. Step 4: Simplify right side
    62,076x = 17,954,928,016
  5. Step 5: Solve for x
    x = 17,954,928,016/62,076
  6. Step 6: Final answer
    x = 289,241.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.