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Finding the Third Proportional to 45,241 and 96,711

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Solution

The third proportional to 45,241 and 96,711 is: 206,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,241 : 96,711 = 96,711 : x
  2. Step 2: Convert to fraction form
    45,241/96,711 = 96,711/x
  3. Step 3: Cross multiply
    45,241x = 96,711 × 96,711
  4. Step 4: Simplify right side
    45,241x = 9,353,017,521
  5. Step 5: Solve for x
    x = 9,353,017,521/45,241
  6. Step 6: Final answer
    x = 206,737.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.