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Finding the Third Proportional to 63,838 and 137,153

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Solution

The third proportional to 63,838 and 137,153 is: 294,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,838 : 137,153 = 137,153 : x
  2. Step 2: Convert to fraction form
    63,838/137,153 = 137,153/x
  3. Step 3: Cross multiply
    63,838x = 137,153 × 137,153
  4. Step 4: Simplify right side
    63,838x = 18,810,945,409
  5. Step 5: Solve for x
    x = 18,810,945,409/63,838
  6. Step 6: Final answer
    x = 294,666.90

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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.