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Finding the Third Proportional to 102,994 and 137,947

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Solution

The third proportional to 102,994 and 137,947 is: 184,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,994 : 137,947 = 137,947 : x
  2. Step 2: Convert to fraction form
    102,994/137,947 = 137,947/x
  3. Step 3: Cross multiply
    102,994x = 137,947 × 137,947
  4. Step 4: Simplify right side
    102,994x = 19,029,374,809
  5. Step 5: Solve for x
    x = 19,029,374,809/102,994
  6. Step 6: Final answer
    x = 184,761.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.