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Finding the Third Proportional to 105,236 and 157,974

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Solution

The third proportional to 105,236 and 157,974 is: 237,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,236 : 157,974 = 157,974 : x
  2. Step 2: Convert to fraction form
    105,236/157,974 = 157,974/x
  3. Step 3: Cross multiply
    105,236x = 157,974 × 157,974
  4. Step 4: Simplify right side
    105,236x = 24,955,784,676
  5. Step 5: Solve for x
    x = 24,955,784,676/105,236
  6. Step 6: Final answer
    x = 237,141.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.