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Finding the Third Proportional to 64,066 and 153,013

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Solution

The third proportional to 64,066 and 153,013 is: 365,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,066 : 153,013 = 153,013 : x
  2. Step 2: Convert to fraction form
    64,066/153,013 = 153,013/x
  3. Step 3: Cross multiply
    64,066x = 153,013 × 153,013
  4. Step 4: Simplify right side
    64,066x = 23,412,978,169
  5. Step 5: Solve for x
    x = 23,412,978,169/64,066
  6. Step 6: Final answer
    x = 365,450.91

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.