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Finding the Third Proportional to 63,122.63 and 137,544.75

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Solution

The third proportional to 63,122.63 and 137,544.75 is: 299,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,122.63 : 137,544.75 = 137,544.75 : x
  2. Step 2: Convert to fraction form
    63,122.63/137,544.75 = 137,544.75/x
  3. Step 3: Cross multiply
    63,122.63x = 137,544.75 × 137,544.75
  4. Step 4: Simplify right side
    63,122.63x = 18,918,558,252.56
  5. Step 5: Solve for x
    x = 18,918,558,252.56/63,122.63
  6. Step 6: Final answer
    x = 299,711.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.