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Finding the Third Proportional to 59,302 and 130,267

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Solution

The third proportional to 59,302 and 130,267 is: 286,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,302 : 130,267 = 130,267 : x
  2. Step 2: Convert to fraction form
    59,302/130,267 = 130,267/x
  3. Step 3: Cross multiply
    59,302x = 130,267 × 130,267
  4. Step 4: Simplify right side
    59,302x = 16,969,491,289
  5. Step 5: Solve for x
    x = 16,969,491,289/59,302
  6. Step 6: Final answer
    x = 286,153.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.