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Finding the Third Proportional to 51,384.75 and 112,082.63

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Solution

The third proportional to 51,384.75 and 112,082.63 is: 244,479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,384.75 : 112,082.63 = 112,082.63 : x
  2. Step 2: Convert to fraction form
    51,384.75/112,082.63 = 112,082.63/x
  3. Step 3: Cross multiply
    51,384.75x = 112,082.63 × 112,082.63
  4. Step 4: Simplify right side
    51,384.75x = 12,562,514,826.89
  5. Step 5: Solve for x
    x = 12,562,514,826.89/51,384.75
  6. Step 6: Final answer
    x = 244,479.44

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