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Finding the Third Proportional to 60,678.28 and 133,020.56

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Solution

The third proportional to 60,678.28 and 133,020.56 is: 291,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,678.28 : 133,020.56 = 133,020.56 : x
  2. Step 2: Convert to fraction form
    60,678.28/133,020.56 = 133,020.56/x
  3. Step 3: Cross multiply
    60,678.28x = 133,020.56 × 133,020.56
  4. Step 4: Simplify right side
    60,678.28x = 17,694,470,047.82
  5. Step 5: Solve for x
    x = 17,694,470,047.82/60,678.28
  6. Step 6: Final answer
    x = 291,611.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.