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Finding the Third Proportional to 63,804 and 137,358

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Solution

The third proportional to 63,804 and 137,358 is: 295,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,804 : 137,358 = 137,358 : x
  2. Step 2: Convert to fraction form
    63,804/137,358 = 137,358/x
  3. Step 3: Cross multiply
    63,804x = 137,358 × 137,358
  4. Step 4: Simplify right side
    63,804x = 18,867,220,164
  5. Step 5: Solve for x
    x = 18,867,220,164/63,804
  6. Step 6: Final answer
    x = 295,705.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.