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Finding the Third Proportional to 43,603 and 67,502

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Solution

The third proportional to 43,603 and 67,502 is: 104,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,603 : 67,502 = 67,502 : x
  2. Step 2: Convert to fraction form
    43,603/67,502 = 67,502/x
  3. Step 3: Cross multiply
    43,603x = 67,502 × 67,502
  4. Step 4: Simplify right side
    43,603x = 4,556,520,004
  5. Step 5: Solve for x
    x = 4,556,520,004/43,603
  6. Step 6: Final answer
    x = 104,500.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.