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Finding the Third Proportional to 55,906 and 83,638

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Solution

The third proportional to 55,906 and 83,638 is: 125,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906 : 83,638 = 83,638 : x
  2. Step 2: Convert to fraction form
    55,906/83,638 = 83,638/x
  3. Step 3: Cross multiply
    55,906x = 83,638 × 83,638
  4. Step 4: Simplify right side
    55,906x = 6,995,315,044
  5. Step 5: Solve for x
    x = 6,995,315,044/55,906
  6. Step 6: Final answer
    x = 125,126.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.