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Finding the Third Proportional to 63,135 and 136,110

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Solution

The third proportional to 63,135 and 136,110 is: 293,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,135 : 136,110 = 136,110 : x
  2. Step 2: Convert to fraction form
    63,135/136,110 = 136,110/x
  3. Step 3: Cross multiply
    63,135x = 136,110 × 136,110
  4. Step 4: Simplify right side
    63,135x = 18,525,932,100
  5. Step 5: Solve for x
    x = 18,525,932,100/63,135
  6. Step 6: Final answer
    x = 293,433.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.