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Finding the Third Proportional to 57,122 and 127,492

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Solution

The third proportional to 57,122 and 127,492 is: 284,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,122 : 127,492 = 127,492 : x
  2. Step 2: Convert to fraction form
    57,122/127,492 = 127,492/x
  3. Step 3: Cross multiply
    57,122x = 127,492 × 127,492
  4. Step 4: Simplify right side
    57,122x = 16,254,210,064
  5. Step 5: Solve for x
    x = 16,254,210,064/57,122
  6. Step 6: Final answer
    x = 284,552.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.