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Finding the Third Proportional to 64,524 and 101,392

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Solution

The third proportional to 64,524 and 101,392 is: 159,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,524 : 101,392 = 101,392 : x
  2. Step 2: Convert to fraction form
    64,524/101,392 = 101,392/x
  3. Step 3: Cross multiply
    64,524x = 101,392 × 101,392
  4. Step 4: Simplify right side
    64,524x = 10,280,337,664
  5. Step 5: Solve for x
    x = 10,280,337,664/64,524
  6. Step 6: Final answer
    x = 159,325.80

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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.