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Finding the Third Proportional to 75,598 and 164,800

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Solution

The third proportional to 75,598 and 164,800 is: 359,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,598 : 164,800 = 164,800 : x
  2. Step 2: Convert to fraction form
    75,598/164,800 = 164,800/x
  3. Step 3: Cross multiply
    75,598x = 164,800 × 164,800
  4. Step 4: Simplify right side
    75,598x = 27,159,040,000
  5. Step 5: Solve for x
    x = 27,159,040,000/75,598
  6. Step 6: Final answer
    x = 359,256.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.