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Finding the Third Proportional to 63,807 and 149,034

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Solution

The third proportional to 63,807 and 149,034 is: 348,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,807 : 149,034 = 149,034 : x
  2. Step 2: Convert to fraction form
    63,807/149,034 = 149,034/x
  3. Step 3: Cross multiply
    63,807x = 149,034 × 149,034
  4. Step 4: Simplify right side
    63,807x = 22,211,133,156
  5. Step 5: Solve for x
    x = 22,211,133,156/63,807
  6. Step 6: Final answer
    x = 348,098.69

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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.