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Finding the Third Proportional to 63,830 and 137,137

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Solution

The third proportional to 63,830 and 137,137 is: 294,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,830 : 137,137 = 137,137 : x
  2. Step 2: Convert to fraction form
    63,830/137,137 = 137,137/x
  3. Step 3: Cross multiply
    63,830x = 137,137 × 137,137
  4. Step 4: Simplify right side
    63,830x = 18,806,556,769
  5. Step 5: Solve for x
    x = 18,806,556,769/63,830
  6. Step 6: Final answer
    x = 294,635.07

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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.