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Finding the Third Proportional to 51,925 and 112,963

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Solution

The third proportional to 51,925 and 112,963 is: 245,751.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,925 : 112,963 = 112,963 : x
  2. Step 2: Convert to fraction form
    51,925/112,963 = 112,963/x
  3. Step 3: Cross multiply
    51,925x = 112,963 × 112,963
  4. Step 4: Simplify right side
    51,925x = 12,760,639,369
  5. Step 5: Solve for x
    x = 12,760,639,369/51,925
  6. Step 6: Final answer
    x = 245,751.36

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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.