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Finding the Third Proportional to 57,523 and 123,043

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Solution

The third proportional to 57,523 and 123,043 is: 263,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,523 : 123,043 = 123,043 : x
  2. Step 2: Convert to fraction form
    57,523/123,043 = 123,043/x
  3. Step 3: Cross multiply
    57,523x = 123,043 × 123,043
  4. Step 4: Simplify right side
    57,523x = 15,139,579,849
  5. Step 5: Solve for x
    x = 15,139,579,849/57,523
  6. Step 6: Final answer
    x = 263,191.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.