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Finding the Third Proportional to 73,026 and 117,571

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Solution

The third proportional to 73,026 and 117,571 is: 189,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,026 : 117,571 = 117,571 : x
  2. Step 2: Convert to fraction form
    73,026/117,571 = 117,571/x
  3. Step 3: Cross multiply
    73,026x = 117,571 × 117,571
  4. Step 4: Simplify right side
    73,026x = 13,822,940,041
  5. Step 5: Solve for x
    x = 13,822,940,041/73,026
  6. Step 6: Final answer
    x = 189,287.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.