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Finding the Third Proportional to 51,681.75 and 112,593

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Solution

The third proportional to 51,681.75 and 112,593 is: 245,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,681.75 : 112,593 = 112,593 : x
  2. Step 2: Convert to fraction form
    51,681.75/112,593 = 112,593/x
  3. Step 3: Cross multiply
    51,681.75x = 112,593 × 112,593
  4. Step 4: Simplify right side
    51,681.75x = 12,677,183,649
  5. Step 5: Solve for x
    x = 12,677,183,649/51,681.75
  6. Step 6: Final answer
    x = 245,293.24

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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.