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Finding the Third Proportional to 94,776 and 142,404

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Solution

The third proportional to 94,776 and 142,404 is: 213,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,776 : 142,404 = 142,404 : x
  2. Step 2: Convert to fraction form
    94,776/142,404 = 142,404/x
  3. Step 3: Cross multiply
    94,776x = 142,404 × 142,404
  4. Step 4: Simplify right side
    94,776x = 20,278,899,216
  5. Step 5: Solve for x
    x = 20,278,899,216/94,776
  6. Step 6: Final answer
    x = 213,966.61

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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.