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Finding the Third Proportional to 51,424.88 and 112,205.25

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Solution

The third proportional to 51,424.88 and 112,205.25 is: 244,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424.88 : 112,205.25 = 112,205.25 : x
  2. Step 2: Convert to fraction form
    51,424.88/112,205.25 = 112,205.25/x
  3. Step 3: Cross multiply
    51,424.88x = 112,205.25 × 112,205.25
  4. Step 4: Simplify right side
    51,424.88x = 12,590,018,127.56
  5. Step 5: Solve for x
    x = 12,590,018,127.56/51,424.88
  6. Step 6: Final answer
    x = 244,823.50

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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.