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Finding the Third Proportional to 75,006 and 105,491

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Solution

The third proportional to 75,006 and 105,491 is: 148,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,006 : 105,491 = 105,491 : x
  2. Step 2: Convert to fraction form
    75,006/105,491 = 105,491/x
  3. Step 3: Cross multiply
    75,006x = 105,491 × 105,491
  4. Step 4: Simplify right side
    75,006x = 11,128,351,081
  5. Step 5: Solve for x
    x = 11,128,351,081/75,006
  6. Step 6: Final answer
    x = 148,366.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.