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Finding the Third Proportional to 43,768 and 95,457

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Solution

The third proportional to 43,768 and 95,457 is: 208,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,768 : 95,457 = 95,457 : x
  2. Step 2: Convert to fraction form
    43,768/95,457 = 95,457/x
  3. Step 3: Cross multiply
    43,768x = 95,457 × 95,457
  4. Step 4: Simplify right side
    43,768x = 9,112,038,849
  5. Step 5: Solve for x
    x = 9,112,038,849/43,768
  6. Step 6: Final answer
    x = 208,189.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.