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Finding the Third Proportional to 130,059 and 267,894

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Solution

The third proportional to 130,059 and 267,894 is: 551,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,059 : 267,894 = 267,894 : x
  2. Step 2: Convert to fraction form
    130,059/267,894 = 267,894/x
  3. Step 3: Cross multiply
    130,059x = 267,894 × 267,894
  4. Step 4: Simplify right side
    130,059x = 71,767,195,236
  5. Step 5: Solve for x
    x = 71,767,195,236/130,059
  6. Step 6: Final answer
    x = 551,804.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.