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Finding the Third Proportional to 94,826 and 142,491

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Solution

The third proportional to 94,826 and 142,491 is: 214,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,826 : 142,491 = 142,491 : x
  2. Step 2: Convert to fraction form
    94,826/142,491 = 142,491/x
  3. Step 3: Cross multiply
    94,826x = 142,491 × 142,491
  4. Step 4: Simplify right side
    94,826x = 20,303,685,081
  5. Step 5: Solve for x
    x = 20,303,685,081/94,826
  6. Step 6: Final answer
    x = 214,115.17

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