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Finding the Third Proportional to 51,316.88 and 76,768.88

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Solution

The third proportional to 51,316.88 and 76,768.88 is: 114,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,316.88 : 76,768.88 = 76,768.88 : x
  2. Step 2: Convert to fraction form
    51,316.88/76,768.88 = 76,768.88/x
  3. Step 3: Cross multiply
    51,316.88x = 76,768.88 × 76,768.88
  4. Step 4: Simplify right side
    51,316.88x = 5,893,460,168.77
  5. Step 5: Solve for x
    x = 5,893,460,168.77/51,316.88
  6. Step 6: Final answer
    x = 114,844.49

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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.