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Finding the Third Proportional to 129,027.50 and 263,239

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Solution

The third proportional to 129,027.50 and 263,239 is: 537,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,027.50 : 263,239 = 263,239 : x
  2. Step 2: Convert to fraction form
    129,027.50/263,239 = 263,239/x
  3. Step 3: Cross multiply
    129,027.50x = 263,239 × 263,239
  4. Step 4: Simplify right side
    129,027.50x = 69,294,771,121
  5. Step 5: Solve for x
    x = 69,294,771,121/129,027.50
  6. Step 6: Final answer
    x = 537,054.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.