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Finding the Third Proportional to 105,024 and 159,477

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Solution

The third proportional to 105,024 and 159,477 is: 242,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,024 : 159,477 = 159,477 : x
  2. Step 2: Convert to fraction form
    105,024/159,477 = 159,477/x
  3. Step 3: Cross multiply
    105,024x = 159,477 × 159,477
  4. Step 4: Simplify right side
    105,024x = 25,432,913,529
  5. Step 5: Solve for x
    x = 25,432,913,529/105,024
  6. Step 6: Final answer
    x = 242,162.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.