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Finding the Third Proportional to 123,134 and 265,100

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Solution

The third proportional to 123,134 and 265,100 is: 570,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,134 : 265,100 = 265,100 : x
  2. Step 2: Convert to fraction form
    123,134/265,100 = 265,100/x
  3. Step 3: Cross multiply
    123,134x = 265,100 × 265,100
  4. Step 4: Simplify right side
    123,134x = 70,278,010,000
  5. Step 5: Solve for x
    x = 70,278,010,000/123,134
  6. Step 6: Final answer
    x = 570,744.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.