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Finding the Third Proportional to 125,152.75 and 259,172.75

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Solution

The third proportional to 125,152.75 and 259,172.75 is: 536,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,152.75 : 259,172.75 = 259,172.75 : x
  2. Step 2: Convert to fraction form
    125,152.75/259,172.75 = 259,172.75/x
  3. Step 3: Cross multiply
    125,152.75x = 259,172.75 × 259,172.75
  4. Step 4: Simplify right side
    125,152.75x = 67,170,514,342.56
  5. Step 5: Solve for x
    x = 67,170,514,342.56/125,152.75
  6. Step 6: Final answer
    x = 536,708.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.