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Finding the Third Proportional to 65,984.63 and 145,092.09

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Solution

The third proportional to 65,984.63 and 145,092.09 is: 319,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,984.63 : 145,092.09 = 145,092.09 : x
  2. Step 2: Convert to fraction form
    65,984.63/145,092.09 = 145,092.09/x
  3. Step 3: Cross multiply
    65,984.63x = 145,092.09 × 145,092.09
  4. Step 4: Simplify right side
    65,984.63x = 21,051,715,668.76
  5. Step 5: Solve for x
    x = 21,051,715,668.76/65,984.63
  6. Step 6: Final answer
    x = 319,039.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.