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Finding the Third Proportional to 59,340 and 129,621

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Solution

The third proportional to 59,340 and 129,621 is: 283,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,340 : 129,621 = 129,621 : x
  2. Step 2: Convert to fraction form
    59,340/129,621 = 129,621/x
  3. Step 3: Cross multiply
    59,340x = 129,621 × 129,621
  4. Step 4: Simplify right side
    59,340x = 16,801,603,641
  5. Step 5: Solve for x
    x = 16,801,603,641/59,340
  6. Step 6: Final answer
    x = 283,141.28

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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.