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Finding the Third Proportional to 75,374 and 159,004

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Solution

The third proportional to 75,374 and 159,004 is: 335,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,374 : 159,004 = 159,004 : x
  2. Step 2: Convert to fraction form
    75,374/159,004 = 159,004/x
  3. Step 3: Cross multiply
    75,374x = 159,004 × 159,004
  4. Step 4: Simplify right side
    75,374x = 25,282,272,016
  5. Step 5: Solve for x
    x = 25,282,272,016/75,374
  6. Step 6: Final answer
    x = 335,424.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.