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Finding the Third Proportional to 47,382 and 103,612

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Solution

The third proportional to 47,382 and 103,612 is: 226,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382 : 103,612 = 103,612 : x
  2. Step 2: Convert to fraction form
    47,382/103,612 = 103,612/x
  3. Step 3: Cross multiply
    47,382x = 103,612 × 103,612
  4. Step 4: Simplify right side
    47,382x = 10,735,446,544
  5. Step 5: Solve for x
    x = 10,735,446,544/47,382
  6. Step 6: Final answer
    x = 226,572.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.