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Finding the Third Proportional to 74,252 and 159,994

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Solution

The third proportional to 74,252 and 159,994 is: 344,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,252 : 159,994 = 159,994 : x
  2. Step 2: Convert to fraction form
    74,252/159,994 = 159,994/x
  3. Step 3: Cross multiply
    74,252x = 159,994 × 159,994
  4. Step 4: Simplify right side
    74,252x = 25,598,080,036
  5. Step 5: Solve for x
    x = 25,598,080,036/74,252
  6. Step 6: Final answer
    x = 344,746.00

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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.