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Finding the Third Proportional to 75,572 and 164,392

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Solution

The third proportional to 75,572 and 164,392 is: 357,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,572 : 164,392 = 164,392 : x
  2. Step 2: Convert to fraction form
    75,572/164,392 = 164,392/x
  3. Step 3: Cross multiply
    75,572x = 164,392 × 164,392
  4. Step 4: Simplify right side
    75,572x = 27,024,729,664
  5. Step 5: Solve for x
    x = 27,024,729,664/75,572
  6. Step 6: Final answer
    x = 357,602.41

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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.