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Finding the Third Proportional to 63,677.39 and 137,735.44

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Solution

The third proportional to 63,677.39 and 137,735.44 is: 297,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,677.39 : 137,735.44 = 137,735.44 : x
  2. Step 2: Convert to fraction form
    63,677.39/137,735.44 = 137,735.44/x
  3. Step 3: Cross multiply
    63,677.39x = 137,735.44 × 137,735.44
  4. Step 4: Simplify right side
    63,677.39x = 18,971,050,743.32
  5. Step 5: Solve for x
    x = 18,971,050,743.32/63,677.39
  6. Step 6: Final answer
    x = 297,924.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.