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Finding the Third Proportional to 51,442.88 and 112,311.94

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Solution

The third proportional to 51,442.88 and 112,311.94 is: 245,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,442.88 : 112,311.94 = 112,311.94 : x
  2. Step 2: Convert to fraction form
    51,442.88/112,311.94 = 112,311.94/x
  3. Step 3: Cross multiply
    51,442.88x = 112,311.94 × 112,311.94
  4. Step 4: Simplify right side
    51,442.88x = 12,613,971,305.00
  5. Step 5: Solve for x
    x = 12,613,971,305.00/51,442.88
  6. Step 6: Final answer
    x = 245,203.47

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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.