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Finding the Third Proportional to 63,145.69 and 138,183.19

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Solution

The third proportional to 63,145.69 and 138,183.19 is: 302,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,145.69 : 138,183.19 = 138,183.19 : x
  2. Step 2: Convert to fraction form
    63,145.69/138,183.19 = 138,183.19/x
  3. Step 3: Cross multiply
    63,145.69x = 138,183.19 × 138,183.19
  4. Step 4: Simplify right side
    63,145.69x = 19,094,593,307.66
  5. Step 5: Solve for x
    x = 19,094,593,307.66/63,145.69
  6. Step 6: Final answer
    x = 302,389.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.