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Finding the Third Proportional to 73,457 and 160,756

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Solution

The third proportional to 73,457 and 160,756 is: 351,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,457 : 160,756 = 160,756 : x
  2. Step 2: Convert to fraction form
    73,457/160,756 = 160,756/x
  3. Step 3: Cross multiply
    73,457x = 160,756 × 160,756
  4. Step 4: Simplify right side
    73,457x = 25,842,491,536
  5. Step 5: Solve for x
    x = 25,842,491,536/73,457
  6. Step 6: Final answer
    x = 351,804.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.