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Finding the Third Proportional to 62,769 and 132,004

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Solution

The third proportional to 62,769 and 132,004 is: 277,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,769 : 132,004 = 132,004 : x
  2. Step 2: Convert to fraction form
    62,769/132,004 = 132,004/x
  3. Step 3: Cross multiply
    62,769x = 132,004 × 132,004
  4. Step 4: Simplify right side
    62,769x = 17,425,056,016
  5. Step 5: Solve for x
    x = 17,425,056,016/62,769
  6. Step 6: Final answer
    x = 277,606.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.