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Finding the Third Proportional to 46,224 and 74,419

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Solution

The third proportional to 46,224 and 74,419 is: 119,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,224 : 74,419 = 74,419 : x
  2. Step 2: Convert to fraction form
    46,224/74,419 = 74,419/x
  3. Step 3: Cross multiply
    46,224x = 74,419 × 74,419
  4. Step 4: Simplify right side
    46,224x = 5,538,187,561
  5. Step 5: Solve for x
    x = 5,538,187,561/46,224
  6. Step 6: Final answer
    x = 119,811.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.