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Finding the Third Proportional to 73,765 and 160,019

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Solution

The third proportional to 73,765 and 160,019 is: 347,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,765 : 160,019 = 160,019 : x
  2. Step 2: Convert to fraction form
    73,765/160,019 = 160,019/x
  3. Step 3: Cross multiply
    73,765x = 160,019 × 160,019
  4. Step 4: Simplify right side
    73,765x = 25,606,080,361
  5. Step 5: Solve for x
    x = 25,606,080,361/73,765
  6. Step 6: Final answer
    x = 347,130.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.