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Finding the Third Proportional to 129,425.50 and 265,124

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Solution

The third proportional to 129,425.50 and 265,124 is: 543,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,425.50 : 265,124 = 265,124 : x
  2. Step 2: Convert to fraction form
    129,425.50/265,124 = 265,124/x
  3. Step 3: Cross multiply
    129,425.50x = 265,124 × 265,124
  4. Step 4: Simplify right side
    129,425.50x = 70,290,735,376
  5. Step 5: Solve for x
    x = 70,290,735,376/129,425.50
  6. Step 6: Final answer
    x = 543,098.04

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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.