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Finding the Third Proportional to 51,323.63 and 76,775.34

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Solution

The third proportional to 51,323.63 and 76,775.34 is: 114,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,323.63 : 76,775.34 = 76,775.34 : x
  2. Step 2: Convert to fraction form
    51,323.63/76,775.34 = 76,775.34/x
  3. Step 3: Cross multiply
    51,323.63x = 76,775.34 × 76,775.34
  4. Step 4: Simplify right side
    51,323.63x = 5,894,453,407.93
  5. Step 5: Solve for x
    x = 5,894,453,407.93/51,323.63
  6. Step 6: Final answer
    x = 114,848.74

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