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Finding the Third Proportional to 47,006 and 103,315

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Solution

The third proportional to 47,006 and 103,315 is: 227,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006 : 103,315 = 103,315 : x
  2. Step 2: Convert to fraction form
    47,006/103,315 = 103,315/x
  3. Step 3: Cross multiply
    47,006x = 103,315 × 103,315
  4. Step 4: Simplify right side
    47,006x = 10,673,989,225
  5. Step 5: Solve for x
    x = 10,673,989,225/47,006
  6. Step 6: Final answer
    x = 227,077.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.