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Finding the Third Proportional to 58,546 and 126,451

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Solution

The third proportional to 58,546 and 126,451 is: 273,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,546 : 126,451 = 126,451 : x
  2. Step 2: Convert to fraction form
    58,546/126,451 = 126,451/x
  3. Step 3: Cross multiply
    58,546x = 126,451 × 126,451
  4. Step 4: Simplify right side
    58,546x = 15,989,855,401
  5. Step 5: Solve for x
    x = 15,989,855,401/58,546
  6. Step 6: Final answer
    x = 273,116.10

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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.