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Finding the Third Proportional to 58,392 and 126,648

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Solution

The third proportional to 58,392 and 126,648 is: 274,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,392 : 126,648 = 126,648 : x
  2. Step 2: Convert to fraction form
    58,392/126,648 = 126,648/x
  3. Step 3: Cross multiply
    58,392x = 126,648 × 126,648
  4. Step 4: Simplify right side
    58,392x = 16,039,715,904
  5. Step 5: Solve for x
    x = 16,039,715,904/58,392
  6. Step 6: Final answer
    x = 274,690.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.