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Finding the Third Proportional to 57,370 and 123,804

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Solution

The third proportional to 57,370 and 123,804 is: 267,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,370 : 123,804 = 123,804 : x
  2. Step 2: Convert to fraction form
    57,370/123,804 = 123,804/x
  3. Step 3: Cross multiply
    57,370x = 123,804 × 123,804
  4. Step 4: Simplify right side
    57,370x = 15,327,430,416
  5. Step 5: Solve for x
    x = 15,327,430,416/57,370
  6. Step 6: Final answer
    x = 267,168.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.