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Finding the Third Proportional to 63,775.13 and 139,206.38

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Solution

The third proportional to 63,775.13 and 139,206.38 is: 303,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,775.13 : 139,206.38 = 139,206.38 : x
  2. Step 2: Convert to fraction form
    63,775.13/139,206.38 = 139,206.38/x
  3. Step 3: Cross multiply
    63,775.13x = 139,206.38 × 139,206.38
  4. Step 4: Simplify right side
    63,775.13x = 19,378,414,840.64
  5. Step 5: Solve for x
    x = 19,378,414,840.64/63,775.13
  6. Step 6: Final answer
    x = 303,855.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.