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Finding the Third Proportional to 51,812.50 and 115,365.50

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Solution

The third proportional to 51,812.50 and 115,365.50 is: 256,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.50 : 115,365.50 = 115,365.50 : x
  2. Step 2: Convert to fraction form
    51,812.50/115,365.50 = 115,365.50/x
  3. Step 3: Cross multiply
    51,812.50x = 115,365.50 × 115,365.50
  4. Step 4: Simplify right side
    51,812.50x = 13,309,198,590.25
  5. Step 5: Solve for x
    x = 13,309,198,590.25/51,812.50
  6. Step 6: Final answer
    x = 256,872.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.