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Finding the Third Proportional to 63,078 and 137,356

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Solution

The third proportional to 63,078 and 137,356 is: 299,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,078 : 137,356 = 137,356 : x
  2. Step 2: Convert to fraction form
    63,078/137,356 = 137,356/x
  3. Step 3: Cross multiply
    63,078x = 137,356 × 137,356
  4. Step 4: Simplify right side
    63,078x = 18,866,670,736
  5. Step 5: Solve for x
    x = 18,866,670,736/63,078
  6. Step 6: Final answer
    x = 299,100.65

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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.