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Finding the Third Proportional to 59,631 and 129,918

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Solution

The third proportional to 59,631 and 129,918 is: 283,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,631 : 129,918 = 129,918 : x
  2. Step 2: Convert to fraction form
    59,631/129,918 = 129,918/x
  3. Step 3: Cross multiply
    59,631x = 129,918 × 129,918
  4. Step 4: Simplify right side
    59,631x = 16,878,686,724
  5. Step 5: Solve for x
    x = 16,878,686,724/59,631
  6. Step 6: Final answer
    x = 283,052.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.