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Finding the Third Proportional to 101,128.50 and 145,668.38

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Solution

The third proportional to 101,128.50 and 145,668.38 is: 209,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,128.50 : 145,668.38 = 145,668.38 : x
  2. Step 2: Convert to fraction form
    101,128.50/145,668.38 = 145,668.38/x
  3. Step 3: Cross multiply
    101,128.50x = 145,668.38 × 145,668.38
  4. Step 4: Simplify right side
    101,128.50x = 21,219,275,475.14
  5. Step 5: Solve for x
    x = 21,219,275,475.14/101,128.50
  6. Step 6: Final answer
    x = 209,824.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.