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Finding the Third Proportional to 60,039 and 130,252

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Solution

The third proportional to 60,039 and 130,252 is: 282,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,039 : 130,252 = 130,252 : x
  2. Step 2: Convert to fraction form
    60,039/130,252 = 130,252/x
  3. Step 3: Cross multiply
    60,039x = 130,252 × 130,252
  4. Step 4: Simplify right side
    60,039x = 16,965,583,504
  5. Step 5: Solve for x
    x = 16,965,583,504/60,039
  6. Step 6: Final answer
    x = 282,576.05

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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.