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Finding the Third Proportional to 105,243 and 160,491

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Solution

The third proportional to 105,243 and 160,491 is: 244,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,243 : 160,491 = 160,491 : x
  2. Step 2: Convert to fraction form
    105,243/160,491 = 160,491/x
  3. Step 3: Cross multiply
    105,243x = 160,491 × 160,491
  4. Step 4: Simplify right side
    105,243x = 25,757,361,081
  5. Step 5: Solve for x
    x = 25,757,361,081/105,243
  6. Step 6: Final answer
    x = 244,741.80

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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.