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Finding the Third Proportional to 81,714 and 124,947

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Solution

The third proportional to 81,714 and 124,947 is: 191,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714 : 124,947 = 124,947 : x
  2. Step 2: Convert to fraction form
    81,714/124,947 = 124,947/x
  3. Step 3: Cross multiply
    81,714x = 124,947 × 124,947
  4. Step 4: Simplify right side
    81,714x = 15,611,752,809
  5. Step 5: Solve for x
    x = 15,611,752,809/81,714
  6. Step 6: Final answer
    x = 191,053.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.