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Finding the Third Proportional to 60,181 and 130,406

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Solution

The third proportional to 60,181 and 130,406 is: 282,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,181 : 130,406 = 130,406 : x
  2. Step 2: Convert to fraction form
    60,181/130,406 = 130,406/x
  3. Step 3: Cross multiply
    60,181x = 130,406 × 130,406
  4. Step 4: Simplify right side
    60,181x = 17,005,724,836
  5. Step 5: Solve for x
    x = 17,005,724,836/60,181
  6. Step 6: Final answer
    x = 282,576.31

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Why These Related Problems?

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