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Finding the Third Proportional to 60,108 and 130,584

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Solution

The third proportional to 60,108 and 130,584 is: 283,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,108 : 130,584 = 130,584 : x
  2. Step 2: Convert to fraction form
    60,108/130,584 = 130,584/x
  3. Step 3: Cross multiply
    60,108x = 130,584 × 130,584
  4. Step 4: Simplify right side
    60,108x = 17,052,181,056
  5. Step 5: Solve for x
    x = 17,052,181,056/60,108
  6. Step 6: Final answer
    x = 283,692.37

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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.