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Finding the Third Proportional to 75,918 and 164,355

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Solution

The third proportional to 75,918 and 164,355 is: 355,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,918 : 164,355 = 164,355 : x
  2. Step 2: Convert to fraction form
    75,918/164,355 = 164,355/x
  3. Step 3: Cross multiply
    75,918x = 164,355 × 164,355
  4. Step 4: Simplify right side
    75,918x = 27,012,566,025
  5. Step 5: Solve for x
    x = 27,012,566,025/75,918
  6. Step 6: Final answer
    x = 355,812.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.