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Finding the Third Proportional to 61,664.63 and 133,165.69

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Solution

The third proportional to 61,664.63 and 133,165.69 is: 287,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,664.63 : 133,165.69 = 133,165.69 : x
  2. Step 2: Convert to fraction form
    61,664.63/133,165.69 = 133,165.69/x
  3. Step 3: Cross multiply
    61,664.63x = 133,165.69 × 133,165.69
  4. Step 4: Simplify right side
    61,664.63x = 17,733,100,327.35
  5. Step 5: Solve for x
    x = 17,733,100,327.35/61,664.63
  6. Step 6: Final answer
    x = 287,573.31

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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.