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Finding the Third Proportional to 51,013.13 and 110,762.81

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Solution

The third proportional to 51,013.13 and 110,762.81 is: 240,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,013.13 : 110,762.81 = 110,762.81 : x
  2. Step 2: Convert to fraction form
    51,013.13/110,762.81 = 110,762.81/x
  3. Step 3: Cross multiply
    51,013.13x = 110,762.81 × 110,762.81
  4. Step 4: Simplify right side
    51,013.13x = 12,268,400,632.91
  5. Step 5: Solve for x
    x = 12,268,400,632.91/51,013.13
  6. Step 6: Final answer
    x = 240,494.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.