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Finding the Third Proportional to 63,429.75 and 136,427.63

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Solution

The third proportional to 63,429.75 and 136,427.63 is: 293,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,429.75 : 136,427.63 = 136,427.63 : x
  2. Step 2: Convert to fraction form
    63,429.75/136,427.63 = 136,427.63/x
  3. Step 3: Cross multiply
    63,429.75x = 136,427.63 × 136,427.63
  4. Step 4: Simplify right side
    63,429.75x = 18,612,496,863.14
  5. Step 5: Solve for x
    x = 18,612,496,863.14/63,429.75
  6. Step 6: Final answer
    x = 293,434.81

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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.