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Finding the Third Proportional to 51,280.50 and 110,762.25

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Solution

The third proportional to 51,280.50 and 110,762.25 is: 239,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,280.50 : 110,762.25 = 110,762.25 : x
  2. Step 2: Convert to fraction form
    51,280.50/110,762.25 = 110,762.25/x
  3. Step 3: Cross multiply
    51,280.50x = 110,762.25 × 110,762.25
  4. Step 4: Simplify right side
    51,280.50x = 12,268,276,025.06
  5. Step 5: Solve for x
    x = 12,268,276,025.06/51,280.50
  6. Step 6: Final answer
    x = 239,238.62

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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.