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Finding the Third Proportional to 51,431.63 and 80,154.56

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Solution

The third proportional to 51,431.63 and 80,154.56 is: 124,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,431.63 : 80,154.56 = 80,154.56 : x
  2. Step 2: Convert to fraction form
    51,431.63/80,154.56 = 80,154.56/x
  3. Step 3: Cross multiply
    51,431.63x = 80,154.56 × 80,154.56
  4. Step 4: Simplify right side
    51,431.63x = 6,424,753,889.57
  5. Step 5: Solve for x
    x = 6,424,753,889.57/51,431.63
  6. Step 6: Final answer
    x = 124,918.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.