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Finding the Third Proportional to 51,424.88 and 112,461.75

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Solution

The third proportional to 51,424.88 and 112,461.75 is: 245,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424.88 : 112,461.75 = 112,461.75 : x
  2. Step 2: Convert to fraction form
    51,424.88/112,461.75 = 112,461.75/x
  3. Step 3: Cross multiply
    51,424.88x = 112,461.75 × 112,461.75
  4. Step 4: Simplify right side
    51,424.88x = 12,647,645,213.06
  5. Step 5: Solve for x
    x = 12,647,645,213.06/51,424.88
  6. Step 6: Final answer
    x = 245,944.11

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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.