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Finding the Third Proportional to 51,409.69 and 112,045.78

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Solution

The third proportional to 51,409.69 and 112,045.78 is: 244,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.69 : 112,045.78 = 112,045.78 : x
  2. Step 2: Convert to fraction form
    51,409.69/112,045.78 = 112,045.78/x
  3. Step 3: Cross multiply
    51,409.69x = 112,045.78 × 112,045.78
  4. Step 4: Simplify right side
    51,409.69x = 12,554,257,095.92
  5. Step 5: Solve for x
    x = 12,554,257,095.92/51,409.69
  6. Step 6: Final answer
    x = 244,200.22

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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.