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Finding the Third Proportional to 121,071 and 239,037

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Solution

The third proportional to 121,071 and 239,037 is: 471,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,071 : 239,037 = 239,037 : x
  2. Step 2: Convert to fraction form
    121,071/239,037 = 239,037/x
  3. Step 3: Cross multiply
    121,071x = 239,037 × 239,037
  4. Step 4: Simplify right side
    121,071x = 57,138,687,369
  5. Step 5: Solve for x
    x = 57,138,687,369/121,071
  6. Step 6: Final answer
    x = 471,943.63

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.