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Finding the Third Proportional to 57,897 and 112,604

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Solution

The third proportional to 57,897 and 112,604 is: 219,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,897 : 112,604 = 112,604 : x
  2. Step 2: Convert to fraction form
    57,897/112,604 = 112,604/x
  3. Step 3: Cross multiply
    57,897x = 112,604 × 112,604
  4. Step 4: Simplify right side
    57,897x = 12,679,660,816
  5. Step 5: Solve for x
    x = 12,679,660,816/57,897
  6. Step 6: Final answer
    x = 219,003.76

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.