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Finding the Third Proportional to 73,197 and 107,005

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Solution

The third proportional to 73,197 and 107,005 is: 156,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,197 : 107,005 = 107,005 : x
  2. Step 2: Convert to fraction form
    73,197/107,005 = 107,005/x
  3. Step 3: Cross multiply
    73,197x = 107,005 × 107,005
  4. Step 4: Simplify right side
    73,197x = 11,450,070,025
  5. Step 5: Solve for x
    x = 11,450,070,025/73,197
  6. Step 6: Final answer
    x = 156,428.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.