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Finding the Third Proportional to 51,900.75 and 112,311

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Solution

The third proportional to 51,900.75 and 112,311 is: 243,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,900.75 : 112,311 = 112,311 : x
  2. Step 2: Convert to fraction form
    51,900.75/112,311 = 112,311/x
  3. Step 3: Cross multiply
    51,900.75x = 112,311 × 112,311
  4. Step 4: Simplify right side
    51,900.75x = 12,613,760,721
  5. Step 5: Solve for x
    x = 12,613,760,721/51,900.75
  6. Step 6: Final answer
    x = 243,036.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.