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Finding the Third Proportional to 51,308.44 and 81,966.94

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Solution

The third proportional to 51,308.44 and 81,966.94 is: 130,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,308.44 : 81,966.94 = 81,966.94 : x
  2. Step 2: Convert to fraction form
    51,308.44/81,966.94 = 81,966.94/x
  3. Step 3: Cross multiply
    51,308.44x = 81,966.94 × 81,966.94
  4. Step 4: Simplify right side
    51,308.44x = 6,718,578,843.13
  5. Step 5: Solve for x
    x = 6,718,578,843.13/51,308.44
  6. Step 6: Final answer
    x = 130,944.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.