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Finding the Third Proportional to 63,512 and 137,068

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Solution

The third proportional to 63,512 and 137,068 is: 295,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,512 : 137,068 = 137,068 : x
  2. Step 2: Convert to fraction form
    63,512/137,068 = 137,068/x
  3. Step 3: Cross multiply
    63,512x = 137,068 × 137,068
  4. Step 4: Simplify right side
    63,512x = 18,787,636,624
  5. Step 5: Solve for x
    x = 18,787,636,624/63,512
  6. Step 6: Final answer
    x = 295,812.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.