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Finding the Third Proportional to 63,858 and 137,124

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Solution

The third proportional to 63,858 and 137,124 is: 294,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,858 : 137,124 = 137,124 : x
  2. Step 2: Convert to fraction form
    63,858/137,124 = 137,124/x
  3. Step 3: Cross multiply
    63,858x = 137,124 × 137,124
  4. Step 4: Simplify right side
    63,858x = 18,802,991,376
  5. Step 5: Solve for x
    x = 18,802,991,376/63,858
  6. Step 6: Final answer
    x = 294,450.05

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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.