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Finding the Third Proportional to 63,102 and 136,041

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Solution

The third proportional to 63,102 and 136,041 is: 293,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,102 : 136,041 = 136,041 : x
  2. Step 2: Convert to fraction form
    63,102/136,041 = 136,041/x
  3. Step 3: Cross multiply
    63,102x = 136,041 × 136,041
  4. Step 4: Simplify right side
    63,102x = 18,507,153,681
  5. Step 5: Solve for x
    x = 18,507,153,681/63,102
  6. Step 6: Final answer
    x = 293,289.49

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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.