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Finding the Third Proportional to 73,084 and 111,570

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Solution

The third proportional to 73,084 and 111,570 is: 170,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084 : 111,570 = 111,570 : x
  2. Step 2: Convert to fraction form
    73,084/111,570 = 111,570/x
  3. Step 3: Cross multiply
    73,084x = 111,570 × 111,570
  4. Step 4: Simplify right side
    73,084x = 12,447,864,900
  5. Step 5: Solve for x
    x = 12,447,864,900/73,084
  6. Step 6: Final answer
    x = 170,322.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.