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Finding the Third Proportional to 63,814 and 149,047

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Solution

The third proportional to 63,814 and 149,047 is: 348,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,814 : 149,047 = 149,047 : x
  2. Step 2: Convert to fraction form
    63,814/149,047 = 149,047/x
  3. Step 3: Cross multiply
    63,814x = 149,047 × 149,047
  4. Step 4: Simplify right side
    63,814x = 22,215,008,209
  5. Step 5: Solve for x
    x = 22,215,008,209/63,814
  6. Step 6: Final answer
    x = 348,121.23

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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.