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Finding the Third Proportional to 57,483 and 125,613

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Solution

The third proportional to 57,483 and 125,613 is: 274,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,483 : 125,613 = 125,613 : x
  2. Step 2: Convert to fraction form
    57,483/125,613 = 125,613/x
  3. Step 3: Cross multiply
    57,483x = 125,613 × 125,613
  4. Step 4: Simplify right side
    57,483x = 15,778,625,769
  5. Step 5: Solve for x
    x = 15,778,625,769/57,483
  6. Step 6: Final answer
    x = 274,492.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.