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Finding the Third Proportional to 62,061 and 133,964.25

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Solution

The third proportional to 62,061 and 133,964.25 is: 289,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,061 : 133,964.25 = 133,964.25 : x
  2. Step 2: Convert to fraction form
    62,061/133,964.25 = 133,964.25/x
  3. Step 3: Cross multiply
    62,061x = 133,964.25 × 133,964.25
  4. Step 4: Simplify right side
    62,061x = 17,946,420,278.06
  5. Step 5: Solve for x
    x = 17,946,420,278.06/62,061
  6. Step 6: Final answer
    x = 289,173.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.