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Finding the Third Proportional to 27,457 and 58,154

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Solution

The third proportional to 27,457 and 58,154 is: 123,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457 : 58,154 = 58,154 : x
  2. Step 2: Convert to fraction form
    27,457/58,154 = 58,154/x
  3. Step 3: Cross multiply
    27,457x = 58,154 × 58,154
  4. Step 4: Simplify right side
    27,457x = 3,381,887,716
  5. Step 5: Solve for x
    x = 3,381,887,716/27,457
  6. Step 6: Final answer
    x = 123,170.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.