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Finding the Third Proportional to 51,495 and 112,833

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Solution

The third proportional to 51,495 and 112,833 is: 247,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495 : 112,833 = 112,833 : x
  2. Step 2: Convert to fraction form
    51,495/112,833 = 112,833/x
  3. Step 3: Cross multiply
    51,495x = 112,833 × 112,833
  4. Step 4: Simplify right side
    51,495x = 12,731,285,889
  5. Step 5: Solve for x
    x = 12,731,285,889/51,495
  6. Step 6: Final answer
    x = 247,233.44

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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.