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Finding the Third Proportional to 136,127.25 and 295,548.75

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Solution

The third proportional to 136,127.25 and 295,548.75 is: 641,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,127.25 : 295,548.75 = 295,548.75 : x
  2. Step 2: Convert to fraction form
    136,127.25/295,548.75 = 295,548.75/x
  3. Step 3: Cross multiply
    136,127.25x = 295,548.75 × 295,548.75
  4. Step 4: Simplify right side
    136,127.25x = 87,349,063,626.56
  5. Step 5: Solve for x
    x = 87,349,063,626.56/136,127.25
  6. Step 6: Final answer
    x = 641,672.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.