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Finding the Third Proportional to 129,432 and 265,137

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Solution

The third proportional to 129,432 and 265,137 is: 543,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,432 : 265,137 = 265,137 : x
  2. Step 2: Convert to fraction form
    129,432/265,137 = 265,137/x
  3. Step 3: Cross multiply
    129,432x = 265,137 × 265,137
  4. Step 4: Simplify right side
    129,432x = 70,297,628,769
  5. Step 5: Solve for x
    x = 70,297,628,769/129,432
  6. Step 6: Final answer
    x = 543,124.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.