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Finding the Third Proportional to 64,044 and 102,899

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Solution

The third proportional to 64,044 and 102,899 is: 165,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,044 : 102,899 = 102,899 : x
  2. Step 2: Convert to fraction form
    64,044/102,899 = 102,899/x
  3. Step 3: Cross multiply
    64,044x = 102,899 × 102,899
  4. Step 4: Simplify right side
    64,044x = 10,588,204,201
  5. Step 5: Solve for x
    x = 10,588,204,201/64,044
  6. Step 6: Final answer
    x = 165,327.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.