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Finding the Third Proportional to 60,933 and 133,638

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Solution

The third proportional to 60,933 and 133,638 is: 293,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,933 : 133,638 = 133,638 : x
  2. Step 2: Convert to fraction form
    60,933/133,638 = 133,638/x
  3. Step 3: Cross multiply
    60,933x = 133,638 × 133,638
  4. Step 4: Simplify right side
    60,933x = 17,859,115,044
  5. Step 5: Solve for x
    x = 17,859,115,044/60,933
  6. Step 6: Final answer
    x = 293,094.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.