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Finding the Third Proportional to 51,291.56 and 110,782.69

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Solution

The third proportional to 51,291.56 and 110,782.69 is: 239,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,291.56 : 110,782.69 = 110,782.69 : x
  2. Step 2: Convert to fraction form
    51,291.56/110,782.69 = 110,782.69/x
  3. Step 3: Cross multiply
    51,291.56x = 110,782.69 × 110,782.69
  4. Step 4: Simplify right side
    51,291.56x = 12,272,803,849.72
  5. Step 5: Solve for x
    x = 12,272,803,849.72/51,291.56
  6. Step 6: Final answer
    x = 239,275.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.