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Finding the Third Proportional to 51,058 and 112,052

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Solution

The third proportional to 51,058 and 112,052 is: 245,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,058 : 112,052 = 112,052 : x
  2. Step 2: Convert to fraction form
    51,058/112,052 = 112,052/x
  3. Step 3: Cross multiply
    51,058x = 112,052 × 112,052
  4. Step 4: Simplify right side
    51,058x = 12,555,650,704
  5. Step 5: Solve for x
    x = 12,555,650,704/51,058
  6. Step 6: Final answer
    x = 245,909.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.