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Finding the Third Proportional to 73,195.31 and 113,117.06

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Solution

The third proportional to 73,195.31 and 113,117.06 is: 174,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,195.31 : 113,117.06 = 113,117.06 : x
  2. Step 2: Convert to fraction form
    73,195.31/113,117.06 = 113,117.06/x
  3. Step 3: Cross multiply
    73,195.31x = 113,117.06 × 113,117.06
  4. Step 4: Simplify right side
    73,195.31x = 12,795,469,828.63
  5. Step 5: Solve for x
    x = 12,795,469,828.63/73,195.31
  6. Step 6: Final answer
    x = 174,812.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.