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Finding the Third Proportional to 64,073 and 101,831

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Solution

The third proportional to 64,073 and 101,831 is: 161,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,073 : 101,831 = 101,831 : x
  2. Step 2: Convert to fraction form
    64,073/101,831 = 101,831/x
  3. Step 3: Cross multiply
    64,073x = 101,831 × 101,831
  4. Step 4: Simplify right side
    64,073x = 10,369,552,561
  5. Step 5: Solve for x
    x = 10,369,552,561/64,073
  6. Step 6: Final answer
    x = 161,839.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.