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Finding the Third Proportional to 75,280 and 164,411

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Solution

The third proportional to 75,280 and 164,411 is: 359,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,280 : 164,411 = 164,411 : x
  2. Step 2: Convert to fraction form
    75,280/164,411 = 164,411/x
  3. Step 3: Cross multiply
    75,280x = 164,411 × 164,411
  4. Step 4: Simplify right side
    75,280x = 27,030,976,921
  5. Step 5: Solve for x
    x = 27,030,976,921/75,280
  6. Step 6: Final answer
    x = 359,072.49

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Why These Related Problems?

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