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Finding the Third Proportional to 57,739 and 120,014

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Solution

The third proportional to 57,739 and 120,014 is: 249,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,739 : 120,014 = 120,014 : x
  2. Step 2: Convert to fraction form
    57,739/120,014 = 120,014/x
  3. Step 3: Cross multiply
    57,739x = 120,014 × 120,014
  4. Step 4: Simplify right side
    57,739x = 14,403,360,196
  5. Step 5: Solve for x
    x = 14,403,360,196/57,739
  6. Step 6: Final answer
    x = 249,456.35

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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.