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Finding the Third Proportional to 64,163 and 154,575

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Solution

The third proportional to 64,163 and 154,575 is: 372,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,163 : 154,575 = 154,575 : x
  2. Step 2: Convert to fraction form
    64,163/154,575 = 154,575/x
  3. Step 3: Cross multiply
    64,163x = 154,575 × 154,575
  4. Step 4: Simplify right side
    64,163x = 23,893,430,625
  5. Step 5: Solve for x
    x = 23,893,430,625/64,163
  6. Step 6: Final answer
    x = 372,386.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.