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Finding the Third Proportional to 57,745 and 120,079

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Solution

The third proportional to 57,745 and 120,079 is: 249,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745 : 120,079 = 120,079 : x
  2. Step 2: Convert to fraction form
    57,745/120,079 = 120,079/x
  3. Step 3: Cross multiply
    57,745x = 120,079 × 120,079
  4. Step 4: Simplify right side
    57,745x = 14,418,966,241
  5. Step 5: Solve for x
    x = 14,418,966,241/57,745
  6. Step 6: Final answer
    x = 249,700.69

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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.