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Finding the Third Proportional to 57,440 and 123,224

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Solution

The third proportional to 57,440 and 123,224 is: 264,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,440 : 123,224 = 123,224 : x
  2. Step 2: Convert to fraction form
    57,440/123,224 = 123,224/x
  3. Step 3: Cross multiply
    57,440x = 123,224 × 123,224
  4. Step 4: Simplify right side
    57,440x = 15,184,154,176
  5. Step 5: Solve for x
    x = 15,184,154,176/57,440
  6. Step 6: Final answer
    x = 264,348.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.