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Finding the Third Proportional to 42,450 and 65,457

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Solution

The third proportional to 42,450 and 65,457 is: 100,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,450 : 65,457 = 65,457 : x
  2. Step 2: Convert to fraction form
    42,450/65,457 = 65,457/x
  3. Step 3: Cross multiply
    42,450x = 65,457 × 65,457
  4. Step 4: Simplify right side
    42,450x = 4,284,618,849
  5. Step 5: Solve for x
    x = 4,284,618,849/42,450
  6. Step 6: Final answer
    x = 100,933.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.