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Finding the Third Proportional to 45,443 and 69,758

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Solution

The third proportional to 45,443 and 69,758 is: 107,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,443 : 69,758 = 69,758 : x
  2. Step 2: Convert to fraction form
    45,443/69,758 = 69,758/x
  3. Step 3: Cross multiply
    45,443x = 69,758 × 69,758
  4. Step 4: Simplify right side
    45,443x = 4,866,178,564
  5. Step 5: Solve for x
    x = 4,866,178,564/45,443
  6. Step 6: Final answer
    x = 107,083.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.