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Finding the Third Proportional to 51,201.75 and 112,244.25

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Solution

The third proportional to 51,201.75 and 112,244.25 is: 246,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201.75 : 112,244.25 = 112,244.25 : x
  2. Step 2: Convert to fraction form
    51,201.75/112,244.25 = 112,244.25/x
  3. Step 3: Cross multiply
    51,201.75x = 112,244.25 × 112,244.25
  4. Step 4: Simplify right side
    51,201.75x = 12,598,771,658.06
  5. Step 5: Solve for x
    x = 12,598,771,658.06/51,201.75
  6. Step 6: Final answer
    x = 246,061.35

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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.