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Finding the Third Proportional to 71,664.75 and 107,484.94

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Solution

The third proportional to 71,664.75 and 107,484.94 is: 161,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664.75 : 107,484.94 = 107,484.94 : x
  2. Step 2: Convert to fraction form
    71,664.75/107,484.94 = 107,484.94/x
  3. Step 3: Cross multiply
    71,664.75x = 107,484.94 × 107,484.94
  4. Step 4: Simplify right side
    71,664.75x = 11,553,011,789.38
  5. Step 5: Solve for x
    x = 11,553,011,789.38/71,664.75
  6. Step 6: Final answer
    x = 161,209.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.