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Finding the Third Proportional to 61,463 and 134,049

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Solution

The third proportional to 61,463 and 134,049 is: 292,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,463 : 134,049 = 134,049 : x
  2. Step 2: Convert to fraction form
    61,463/134,049 = 134,049/x
  3. Step 3: Cross multiply
    61,463x = 134,049 × 134,049
  4. Step 4: Simplify right side
    61,463x = 17,969,134,401
  5. Step 5: Solve for x
    x = 17,969,134,401/61,463
  6. Step 6: Final answer
    x = 292,356.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.