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Finding the Third Proportional to 75,638 and 164,540

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Solution

The third proportional to 75,638 and 164,540 is: 357,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638 : 164,540 = 164,540 : x
  2. Step 2: Convert to fraction form
    75,638/164,540 = 164,540/x
  3. Step 3: Cross multiply
    75,638x = 164,540 × 164,540
  4. Step 4: Simplify right side
    75,638x = 27,073,411,600
  5. Step 5: Solve for x
    x = 27,073,411,600/75,638
  6. Step 6: Final answer
    x = 357,934.00

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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.