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Finding the Third Proportional to 59,265 and 129,195

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Solution

The third proportional to 59,265 and 129,195 is: 281,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,265 : 129,195 = 129,195 : x
  2. Step 2: Convert to fraction form
    59,265/129,195 = 129,195/x
  3. Step 3: Cross multiply
    59,265x = 129,195 × 129,195
  4. Step 4: Simplify right side
    59,265x = 16,691,348,025
  5. Step 5: Solve for x
    x = 16,691,348,025/59,265
  6. Step 6: Final answer
    x = 281,639.21

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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.