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Finding the Third Proportional to 75,420 and 164,637

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Solution

The third proportional to 75,420 and 164,637 is: 359,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,420 : 164,637 = 164,637 : x
  2. Step 2: Convert to fraction form
    75,420/164,637 = 164,637/x
  3. Step 3: Cross multiply
    75,420x = 164,637 × 164,637
  4. Step 4: Simplify right side
    75,420x = 27,105,341,769
  5. Step 5: Solve for x
    x = 27,105,341,769/75,420
  6. Step 6: Final answer
    x = 359,391.96

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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.