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Finding the Third Proportional to 135,112 and 301,292

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Solution

The third proportional to 135,112 and 301,292 is: 671,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,112 : 301,292 = 301,292 : x
  2. Step 2: Convert to fraction form
    135,112/301,292 = 301,292/x
  3. Step 3: Cross multiply
    135,112x = 301,292 × 301,292
  4. Step 4: Simplify right side
    135,112x = 90,776,869,264
  5. Step 5: Solve for x
    x = 90,776,869,264/135,112
  6. Step 6: Final answer
    x = 671,863.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.