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Finding the Third Proportional to 64,802 and 101,523

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Solution

The third proportional to 64,802 and 101,523 is: 159,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,802 : 101,523 = 101,523 : x
  2. Step 2: Convert to fraction form
    64,802/101,523 = 101,523/x
  3. Step 3: Cross multiply
    64,802x = 101,523 × 101,523
  4. Step 4: Simplify right side
    64,802x = 10,306,919,529
  5. Step 5: Solve for x
    x = 10,306,919,529/64,802
  6. Step 6: Final answer
    x = 159,052.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.