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Finding the Third Proportional to 63,029 and 134,401

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Solution

The third proportional to 63,029 and 134,401 is: 286,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,029 : 134,401 = 134,401 : x
  2. Step 2: Convert to fraction form
    63,029/134,401 = 134,401/x
  3. Step 3: Cross multiply
    63,029x = 134,401 × 134,401
  4. Step 4: Simplify right side
    63,029x = 18,063,628,801
  5. Step 5: Solve for x
    x = 18,063,628,801/63,029
  6. Step 6: Final answer
    x = 286,592.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.