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Finding the Third Proportional to 63,825 and 137,127

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Solution

The third proportional to 63,825 and 137,127 is: 294,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,825 : 137,127 = 137,127 : x
  2. Step 2: Convert to fraction form
    63,825/137,127 = 137,127/x
  3. Step 3: Cross multiply
    63,825x = 137,127 × 137,127
  4. Step 4: Simplify right side
    63,825x = 18,803,814,129
  5. Step 5: Solve for x
    x = 18,803,814,129/63,825
  6. Step 6: Final answer
    x = 294,615.18

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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.