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Finding the Third Proportional to 51,206.55 and 76,955.06

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Solution

The third proportional to 51,206.55 and 76,955.06 is: 115,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206.55 : 76,955.06 = 76,955.06 : x
  2. Step 2: Convert to fraction form
    51,206.55/76,955.06 = 76,955.06/x
  3. Step 3: Cross multiply
    51,206.55x = 76,955.06 × 76,955.06
  4. Step 4: Simplify right side
    51,206.55x = 5,922,081,644.38
  5. Step 5: Solve for x
    x = 5,922,081,644.38/51,206.55
  6. Step 6: Final answer
    x = 115,650.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.