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Finding the Third Proportional to 109,446.75 and 162,711

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Solution

The third proportional to 109,446.75 and 162,711 is: 241,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,446.75 : 162,711 = 162,711 : x
  2. Step 2: Convert to fraction form
    109,446.75/162,711 = 162,711/x
  3. Step 3: Cross multiply
    109,446.75x = 162,711 × 162,711
  4. Step 4: Simplify right side
    109,446.75x = 26,474,869,521
  5. Step 5: Solve for x
    x = 26,474,869,521/109,446.75
  6. Step 6: Final answer
    x = 241,897.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.