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Finding the Third Proportional to 51,943.75 and 112,088.75

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Solution

The third proportional to 51,943.75 and 112,088.75 is: 241,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,943.75 : 112,088.75 = 112,088.75 : x
  2. Step 2: Convert to fraction form
    51,943.75/112,088.75 = 112,088.75/x
  3. Step 3: Cross multiply
    51,943.75x = 112,088.75 × 112,088.75
  4. Step 4: Simplify right side
    51,943.75x = 12,563,887,876.56
  5. Step 5: Solve for x
    x = 12,563,887,876.56/51,943.75
  6. Step 6: Final answer
    x = 241,874.87

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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.