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Finding the Third Proportional to 63,628 and 137,029

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Solution

The third proportional to 63,628 and 137,029 is: 295,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,628 : 137,029 = 137,029 : x
  2. Step 2: Convert to fraction form
    63,628/137,029 = 137,029/x
  3. Step 3: Cross multiply
    63,628x = 137,029 × 137,029
  4. Step 4: Simplify right side
    63,628x = 18,776,946,841
  5. Step 5: Solve for x
    x = 18,776,946,841/63,628
  6. Step 6: Final answer
    x = 295,105.09

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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.