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Finding the Third Proportional to 64,094 and 138,049

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Solution

The third proportional to 64,094 and 138,049 is: 297,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,094 : 138,049 = 138,049 : x
  2. Step 2: Convert to fraction form
    64,094/138,049 = 138,049/x
  3. Step 3: Cross multiply
    64,094x = 138,049 × 138,049
  4. Step 4: Simplify right side
    64,094x = 19,057,526,401
  5. Step 5: Solve for x
    x = 19,057,526,401/64,094
  6. Step 6: Final answer
    x = 297,337.14

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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.