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Finding the Third Proportional to 47,065 and 103,603

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Solution

The third proportional to 47,065 and 103,603 is: 228,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065 : 103,603 = 103,603 : x
  2. Step 2: Convert to fraction form
    47,065/103,603 = 103,603/x
  3. Step 3: Cross multiply
    47,065x = 103,603 × 103,603
  4. Step 4: Simplify right side
    47,065x = 10,733,581,609
  5. Step 5: Solve for x
    x = 10,733,581,609/47,065
  6. Step 6: Final answer
    x = 228,058.68

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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.