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Finding the Third Proportional to 51,895.85 and 111,750.94

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Solution

The third proportional to 51,895.85 and 111,750.94 is: 240,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,895.85 : 111,750.94 = 111,750.94 : x
  2. Step 2: Convert to fraction form
    51,895.85/111,750.94 = 111,750.94/x
  3. Step 3: Cross multiply
    51,895.85x = 111,750.94 × 111,750.94
  4. Step 4: Simplify right side
    51,895.85x = 12,488,272,032.13
  5. Step 5: Solve for x
    x = 12,488,272,032.13/51,895.85
  6. Step 6: Final answer
    x = 240,641.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.