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Finding the Third Proportional to 57,392 and 124,315

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Solution

The third proportional to 57,392 and 124,315 is: 269,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,392 : 124,315 = 124,315 : x
  2. Step 2: Convert to fraction form
    57,392/124,315 = 124,315/x
  3. Step 3: Cross multiply
    57,392x = 124,315 × 124,315
  4. Step 4: Simplify right side
    57,392x = 15,454,219,225
  5. Step 5: Solve for x
    x = 15,454,219,225/57,392
  6. Step 6: Final answer
    x = 269,274.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.