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Finding the Third Proportional to 63,800 and 149,018

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Solution

The third proportional to 63,800 and 149,018 is: 348,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,800 : 149,018 = 149,018 : x
  2. Step 2: Convert to fraction form
    63,800/149,018 = 149,018/x
  3. Step 3: Cross multiply
    63,800x = 149,018 × 149,018
  4. Step 4: Simplify right side
    63,800x = 22,206,364,324
  5. Step 5: Solve for x
    x = 22,206,364,324/63,800
  6. Step 6: Final answer
    x = 348,062.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.