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Finding the Third Proportional to 60,896 and 132,144

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Solution

The third proportional to 60,896 and 132,144 is: 286,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,896 : 132,144 = 132,144 : x
  2. Step 2: Convert to fraction form
    60,896/132,144 = 132,144/x
  3. Step 3: Cross multiply
    60,896x = 132,144 × 132,144
  4. Step 4: Simplify right side
    60,896x = 17,462,036,736
  5. Step 5: Solve for x
    x = 17,462,036,736/60,896
  6. Step 6: Final answer
    x = 286,751.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.