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Finding the Third Proportional to 59,257 and 129,599

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Solution

The third proportional to 59,257 and 129,599 is: 283,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,257 : 129,599 = 129,599 : x
  2. Step 2: Convert to fraction form
    59,257/129,599 = 129,599/x
  3. Step 3: Cross multiply
    59,257x = 129,599 × 129,599
  4. Step 4: Simplify right side
    59,257x = 16,795,900,801
  5. Step 5: Solve for x
    x = 16,795,900,801/59,257
  6. Step 6: Final answer
    x = 283,441.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.