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Finding the Third Proportional to 57,627 and 119,853

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Solution

The third proportional to 57,627 and 119,853 is: 249,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,627 : 119,853 = 119,853 : x
  2. Step 2: Convert to fraction form
    57,627/119,853 = 119,853/x
  3. Step 3: Cross multiply
    57,627x = 119,853 × 119,853
  4. Step 4: Simplify right side
    57,627x = 14,364,741,609
  5. Step 5: Solve for x
    x = 14,364,741,609/57,627
  6. Step 6: Final answer
    x = 249,271.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.